LCM for 15 and 52

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 15 and 52?

Answer

LCM of 15 and 52 is 780

(Seven hundred eighty)

Finding LCM for 15 and 52 using GCF of these numbers

The first method to find LCM for numbers 15 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 15 and 52 is 1, so

LCM = (15 × 52) ÷ 1

LCM = 780 ÷ 1

LCM = 780

Finding LCM for 15 and 52 by Listing Multiples

The second method to find LCM for numbers 15 and 52 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884

So the LCM for 15 and 52 is 780

Finding LCM for 15 and 52 by Prime Factorization

Another method to find LCM for numbers 15 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

31 × 51 × 22 × 131 = 780

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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 15 and 52? (The answer is: 780). Select the first number (e.g. '15') and the second number (e.g. '52'). 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

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
15252
25252
352156
45252
552260
652156
752364
852104
952468
1052260
1152572
1252156
135252
1452364
1552780
1652208
1752884
1852468
1952988
2052260
21521092
2252572
23521196
2452312
25521300
265252
27521404
2852364
29521508
3052780

FAQ

What's the Least Common Multiple (LCM) of 15 and 52?

LCM of 15 and 52 is 780

How to find the LCM of 15 and 52 using prime factorization?

To find the LCM of 15 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 780.

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 15 and 52: LCM = 780, GCF = 1.

See Also