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What is the Least Common Multiple of 79207 and 79212?

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 79207 and 79212 is 6274144884.

LCM(79207,79212) = 6274144884

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Least Common Multiple of 79207 and 79212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79207 and 79212, than apply into the LCM equation.

GCF(79207,79212) = 1
LCM(79207,79212) = ( 79207 × 79212) / 1
LCM(79207,79212) = 6274144884 / 1
LCM(79207,79212) = 6274144884

Least Common Multiple (LCM) of 79207 and 79212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79207 and 79212. First we will calculate the prime factors of 79207 and 79212.

Prime Factorization of 79207

Prime factors of 79207 are 103, 769. Prime factorization of 79207 in exponential form is:

79207 = 1031 × 7691

Prime Factorization of 79212

Prime factors of 79212 are 2, 3, 7, 23, 41. Prime factorization of 79212 in exponential form is:

79212 = 22 × 31 × 71 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 79207 and 79212.

LCM(79207,79212) = 1031 × 7691 × 22 × 31 × 71 × 231 × 411
LCM(79207,79212) = 6274144884