LCM for 21 and 44

What's the Least Common Multiple (LCM) of 21 and 44?

Answer: LCM of 21 and 44 is 924

(Nine hundred twenty-four)

Finding LCM for 21 and 44 using GCF's of these numbers

The first method to find LCM for numbers 21 and 44 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 44 is 1, so

LCM = (21 × 44) ÷ 1

LCM = 924 ÷ 1

LCM = 924

Finding LCM for 21 and 44 by Listing Multiples

The second method to find LCM for numbers 21 and 44 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 21: 21, 42, 63, 84, 105, 126, 147, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 462, 483, 504, 525, 546, 567, 588, 609, 630, 651, 672, 693, 714, 735, 756, 777, 798, 819, 840, 861, 882, 903, 924, 945, 966

Multiples of 44: 44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748, 792, 836, 880, 924, 968, 1012

So the LCM for 21 and 44 is 924

Finding LCM for 21 and 44 by Prime Factorization

Another method to find LCM for numbers 21 and 44 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 21: 3, 7 (exponent form: 31, 71)

All Prime Factors of 44: 2, 2, 11 (exponent form: 22, 111)

31 × 71 × 22 × 111 = 924

See Also

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 21 and 44? (The answer is: 924). Select the first number (e.g. '21') and the second number (e.g. '44'). 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

LCM Table

Number 1Number 2LCM
644132
744308
84488
944396
1044220
1144
1244
1344572
1444308
1544660
1644
1744748
1844396
1944836
2044220
2144
2244
23441012
2444264
25441100
2644572
27441188
2844308
29441276
3044660
31441364
3244352
3344
3444748
35441540

FAQ

What's the Least Common Multiple (LCM) of 21 and 44?

LCM of 21 and 44 is 924