LCM for 21 and 35

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 21 and 35?

Answer: LCM of 21 and 35 is 105

(One hundred five)

Finding LCM for 21 and 35 using GCF's of these numbers

The first method to find LCM for numbers 21 and 35 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 21 and 35 is 7, so

LCM = (21 × 35) ÷ 7

LCM = 735 ÷ 7

LCM = 105

Finding LCM for 21 and 35 by Listing Multiples

The second method to find LCM for numbers 21 and 35 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

Multiples of 35: 35, 70, 105, 140, 175

So the LCM for 21 and 35 is 105

Finding LCM for 21 and 35 by Prime Factorization

Another method to find LCM for numbers 21 and 35 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 35: 5, 7 (exponent form: 51, 71)

31 × 71 × 51 = 105

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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 21 and 35? (The answer is: 105). Select the first number (e.g. '21') and the second number (e.g. '35'). 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
635210
73535
835280
935315
103570
1135385
1235420
1335455
143570
1535105
1635560
1735595
1835630
1935665
2035140
2135105
2235770
2335805
2435840
2535175
2635910
2735945
2835140
29351015
3035210
31351085
32351120
33351155
34351190
353535

FAQ

What's the Least Common Multiple (LCM) of 21 and 35?

LCM of 21 and 35 is 105

See Also