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Least Common Multiple of 7 and 20

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 7 and 20 is 140.

LCM(7,20) = 140

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Least Common Multiple of 7 and 20 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7 and 20, than apply into the LCM equation.

GCF(7,20) = 1
LCM(7,20) = ( 7 × 20) / 1
LCM(7,20) = 140 / 1
LCM(7,20) = 140

Least Common Multiple (LCM) of 7 and 20 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 20. First we will calculate the prime factors of 7 and 20.

Prime Factorization of 7

Prime factors of 7 are 7. Prime factorization of 7 in exponential form is:

7 = 71

Prime Factorization of 20

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

20 = 22 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 7 and 20.

LCM(7,20) = 71 × 22 × 51
LCM(7,20) = 140

Recent Comments
Jayden 2020-10-01 14:10:20

You are smart! I wish I was that smart

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