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What is the Least Common Multiple of 79592 and 79602?

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 79592 and 79602 is 3167841192.

LCM(79592,79602) = 3167841192

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Least Common Multiple of 79592 and 79602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79592 and 79602, than apply into the LCM equation.

GCF(79592,79602) = 2
LCM(79592,79602) = ( 79592 × 79602) / 2
LCM(79592,79602) = 6335682384 / 2
LCM(79592,79602) = 3167841192

Least Common Multiple (LCM) of 79592 and 79602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79592 and 79602. First we will calculate the prime factors of 79592 and 79602.

Prime Factorization of 79592

Prime factors of 79592 are 2, 9949. Prime factorization of 79592 in exponential form is:

79592 = 23 × 99491

Prime Factorization of 79602

Prime factors of 79602 are 2, 3, 13267. Prime factorization of 79602 in exponential form is:

79602 = 21 × 31 × 132671

Now multiplying the highest exponent prime factors to calculate the LCM of 79592 and 79602.

LCM(79592,79602) = 23 × 99491 × 31 × 132671
LCM(79592,79602) = 3167841192