LCM for 47 and 49

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What's the Least Common Multiple (LCM) of 47 and 49?

Answer

LCM of 47 and 49 is
2,303

(Two thousand three hundred three)

Finding LCM for 47 and 49 using GCF of these numbers

The first method to find LCM for numbers 47 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 47 and 49 is 1, so

LCM = (47 × 49) ÷ 1

LCM = 2,303 ÷ 1

LCM = 2,303

Finding LCM for 47 and 49 by Listing Multiples

The second method to find LCM for numbers 47 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 47: 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1,034, 1,081, 1,128, 1,175, 1,222, 1,269, 1,316, 1,363, 1,410, 1,457, 1,504, 1,551, 1,598, 1,645, 1,692, 1,739, 1,786, 1,833, 1,880, 1,927, 1,974, 2,021, 2,068, 2,115, 2,162, 2,209, 2,256, 2,303, 2,350, 2,397

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539, 588, 637, 686, 735, 784, 833, 882, 931, 980, 1,029, 1,078, 1,127, 1,176, 1,225, 1,274, 1,323, 1,372, 1,421, 1,470, 1,519, 1,568, 1,617, 1,666, 1,715, 1,764, 1,813, 1,862, 1,911, 1,960, 2,009, 2,058, 2,107, 2,156, 2,205, 2,254, 2,303, 2,352, 2,401

So the LCM for 47 and 49 is 2,303

Finding LCM for 47 and 49 by Prime Factorization

Another method to find LCM for numbers 47 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 47: 47 (exponent form: 471)

All Prime Factors of 49: 7, 7 (exponent form: 72)

471 × 72 = 2,303

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 47 and 49? (The answer is: 2,303). Select the first number (e.g. '47') and the second number (e.g. '49'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
47341,598
47351,645
47361,692
47371,739
47381,786
47391,833
47401,880
47411,927
47421,974
47432,021
47442,068
47452,115
47462,162
474747
47482,256
47492,303
47502,350
47512,397
47522,444
47532,491
47542,538
47552,585
47562,632
47572,679
47582,726
47592,773
47602,820
47612,867
47622,914
47632,961

FAQ

What's the Least Common Multiple (LCM) of 47 and 49?

LCM of 47 and 49 is 2,303

How to find the LCM of 47 and 49 using prime factorization?

To find the LCM of 47 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,303.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 47 and 49: LCM = 2,303, GCF = 1.

See Also