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What is the Least Common Multiple of 79617 and 79633?

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 79617 and 79633 is 6340140561.

LCM(79617,79633) = 6340140561

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Least Common Multiple of 79617 and 79633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79617 and 79633, than apply into the LCM equation.

GCF(79617,79633) = 1
LCM(79617,79633) = ( 79617 × 79633) / 1
LCM(79617,79633) = 6340140561 / 1
LCM(79617,79633) = 6340140561

Least Common Multiple (LCM) of 79617 and 79633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79617 and 79633. First we will calculate the prime factors of 79617 and 79633.

Prime Factorization of 79617

Prime factors of 79617 are 3, 26539. Prime factorization of 79617 in exponential form is:

79617 = 31 × 265391

Prime Factorization of 79633

Prime factors of 79633 are 79633. Prime factorization of 79633 in exponential form is:

79633 = 796331

Now multiplying the highest exponent prime factors to calculate the LCM of 79617 and 79633.

LCM(79617,79633) = 31 × 265391 × 796331
LCM(79617,79633) = 6340140561