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Least Common Multiple of 20 and 140

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 20 and 140 is 140.

LCM(20,140) = 140

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Least Common Multiple of 20 and 140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20 and 140, than apply into the LCM equation.

GCF(20,140) = 20
LCM(20,140) = ( 20 × 140) / 20
LCM(20,140) = 2800 / 20
LCM(20,140) = 140

Least Common Multiple (LCM) of 20 and 140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20 and 140. First we will calculate the prime factors of 20 and 140.

Prime Factorization of 20

Prime factors of 20 are 2, 5. Prime factorization of 20 in exponential form is:

20 = 22 × 51

Prime Factorization of 140

Prime factors of 140 are 2, 5, 7. Prime factorization of 140 in exponential form is:

140 = 22 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 20 and 140.

LCM(20,140) = 22 × 51 × 71
LCM(20,140) = 140

Recent Comments
Guest 2020-02-16 18:10:15

I like that you demonstrated a variety of ways to the math problems. Thanks PattiG.

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