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What is the Least Common Multiple of 7372 and 7379?

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 7372 and 7379 is 54397988.

LCM(7372,7379) = 54397988

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Least Common Multiple of 7372 and 7379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7372 and 7379, than apply into the LCM equation.

GCF(7372,7379) = 1
LCM(7372,7379) = ( 7372 × 7379) / 1
LCM(7372,7379) = 54397988 / 1
LCM(7372,7379) = 54397988

Least Common Multiple (LCM) of 7372 and 7379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7372 and 7379. First we will calculate the prime factors of 7372 and 7379.

Prime Factorization of 7372

Prime factors of 7372 are 2, 19, 97. Prime factorization of 7372 in exponential form is:

7372 = 22 × 191 × 971

Prime Factorization of 7379

Prime factors of 7379 are 47, 157. Prime factorization of 7379 in exponential form is:

7379 = 471 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 7372 and 7379.

LCM(7372,7379) = 22 × 191 × 971 × 471 × 1571
LCM(7372,7379) = 54397988