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What is the Least Common Multiple of 79697 and 79706?

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 79697 and 79706 is 6352329082.

LCM(79697,79706) = 6352329082

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Least Common Multiple of 79697 and 79706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79697 and 79706, than apply into the LCM equation.

GCF(79697,79706) = 1
LCM(79697,79706) = ( 79697 × 79706) / 1
LCM(79697,79706) = 6352329082 / 1
LCM(79697,79706) = 6352329082

Least Common Multiple (LCM) of 79697 and 79706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79697 and 79706. First we will calculate the prime factors of 79697 and 79706.

Prime Factorization of 79697

Prime factors of 79697 are 79697. Prime factorization of 79697 in exponential form is:

79697 = 796971

Prime Factorization of 79706

Prime factors of 79706 are 2, 11, 3623. Prime factorization of 79706 in exponential form is:

79706 = 21 × 111 × 36231

Now multiplying the highest exponent prime factors to calculate the LCM of 79697 and 79706.

LCM(79697,79706) = 796971 × 21 × 111 × 36231
LCM(79697,79706) = 6352329082