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What is the Least Common Multiple of 79693 and 79710?

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 79693 and 79710 is 6352329030.

LCM(79693,79710) = 6352329030

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Least Common Multiple of 79693 and 79710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79693 and 79710, than apply into the LCM equation.

GCF(79693,79710) = 1
LCM(79693,79710) = ( 79693 × 79710) / 1
LCM(79693,79710) = 6352329030 / 1
LCM(79693,79710) = 6352329030

Least Common Multiple (LCM) of 79693 and 79710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79693 and 79710. First we will calculate the prime factors of 79693 and 79710.

Prime Factorization of 79693

Prime factors of 79693 are 79693. Prime factorization of 79693 in exponential form is:

79693 = 796931

Prime Factorization of 79710

Prime factors of 79710 are 2, 3, 5, 2657. Prime factorization of 79710 in exponential form is:

79710 = 21 × 31 × 51 × 26571

Now multiplying the highest exponent prime factors to calculate the LCM of 79693 and 79710.

LCM(79693,79710) = 796931 × 21 × 31 × 51 × 26571
LCM(79693,79710) = 6352329030