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What is the Least Common Multiple of 7958 and 7972?

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 7958 and 7972 is 31720588.

LCM(7958,7972) = 31720588

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Least Common Multiple of 7958 and 7972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7958 and 7972, than apply into the LCM equation.

GCF(7958,7972) = 2
LCM(7958,7972) = ( 7958 × 7972) / 2
LCM(7958,7972) = 63441176 / 2
LCM(7958,7972) = 31720588

Least Common Multiple (LCM) of 7958 and 7972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7958 and 7972. First we will calculate the prime factors of 7958 and 7972.

Prime Factorization of 7958

Prime factors of 7958 are 2, 23, 173. Prime factorization of 7958 in exponential form is:

7958 = 21 × 231 × 1731

Prime Factorization of 7972

Prime factors of 7972 are 2, 1993. Prime factorization of 7972 in exponential form is:

7972 = 22 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 7958 and 7972.

LCM(7958,7972) = 22 × 231 × 1731 × 19931
LCM(7958,7972) = 31720588