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What is the Least Common Multiple of 79217 and 79224?

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 79217 and 79224 is 6275887608.

LCM(79217,79224) = 6275887608

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Least Common Multiple of 79217 and 79224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79217 and 79224, than apply into the LCM equation.

GCF(79217,79224) = 1
LCM(79217,79224) = ( 79217 × 79224) / 1
LCM(79217,79224) = 6275887608 / 1
LCM(79217,79224) = 6275887608

Least Common Multiple (LCM) of 79217 and 79224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79217 and 79224. First we will calculate the prime factors of 79217 and 79224.

Prime Factorization of 79217

Prime factors of 79217 are 37, 2141. Prime factorization of 79217 in exponential form is:

79217 = 371 × 21411

Prime Factorization of 79224

Prime factors of 79224 are 2, 3, 3301. Prime factorization of 79224 in exponential form is:

79224 = 23 × 31 × 33011

Now multiplying the highest exponent prime factors to calculate the LCM of 79217 and 79224.

LCM(79217,79224) = 371 × 21411 × 23 × 31 × 33011
LCM(79217,79224) = 6275887608