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What is the Least Common Multiple of 79207 and 79213?

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 79213 is 6274224091.

LCM(79207,79213) = 6274224091

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Least Common Multiple of 79207 and 79213 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 79213, than apply into the LCM equation.

GCF(79207,79213) = 1
LCM(79207,79213) = ( 79207 × 79213) / 1
LCM(79207,79213) = 6274224091 / 1
LCM(79207,79213) = 6274224091

Least Common Multiple (LCM) of 79207 and 79213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79207 and 79213. First we will calculate the prime factors of 79207 and 79213.

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 79213

Prime factors of 79213 are 113, 701. Prime factorization of 79213 in exponential form is:

79213 = 1131 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 79207 and 79213.

LCM(79207,79213) = 1031 × 7691 × 1131 × 7011
LCM(79207,79213) = 6274224091