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What is the Least Common Multiple of 79611 and 79621?

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 79611 and 79621 is 6338707431.

LCM(79611,79621) = 6338707431

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Least Common Multiple of 79611 and 79621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79611 and 79621, than apply into the LCM equation.

GCF(79611,79621) = 1
LCM(79611,79621) = ( 79611 × 79621) / 1
LCM(79611,79621) = 6338707431 / 1
LCM(79611,79621) = 6338707431

Least Common Multiple (LCM) of 79611 and 79621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79611 and 79621. First we will calculate the prime factors of 79611 and 79621.

Prime Factorization of 79611

Prime factors of 79611 are 3, 7, 17, 223. Prime factorization of 79611 in exponential form is:

79611 = 31 × 71 × 171 × 2231

Prime Factorization of 79621

Prime factors of 79621 are 79621. Prime factorization of 79621 in exponential form is:

79621 = 796211

Now multiplying the highest exponent prime factors to calculate the LCM of 79611 and 79621.

LCM(79611,79621) = 31 × 71 × 171 × 2231 × 796211
LCM(79611,79621) = 6338707431