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What is the Least Common Multiple of 79541 and 79551?

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 79541 and 79551 is 6327566091.

LCM(79541,79551) = 6327566091

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Least Common Multiple of 79541 and 79551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79541 and 79551, than apply into the LCM equation.

GCF(79541,79551) = 1
LCM(79541,79551) = ( 79541 × 79551) / 1
LCM(79541,79551) = 6327566091 / 1
LCM(79541,79551) = 6327566091

Least Common Multiple (LCM) of 79541 and 79551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79541 and 79551. First we will calculate the prime factors of 79541 and 79551.

Prime Factorization of 79541

Prime factors of 79541 are 7, 11, 1033. Prime factorization of 79541 in exponential form is:

79541 = 71 × 111 × 10331

Prime Factorization of 79551

Prime factors of 79551 are 3, 8839. Prime factorization of 79551 in exponential form is:

79551 = 32 × 88391

Now multiplying the highest exponent prime factors to calculate the LCM of 79541 and 79551.

LCM(79541,79551) = 71 × 111 × 10331 × 32 × 88391
LCM(79541,79551) = 6327566091