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What is the Least Common Multiple of 79617 and 79636?

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 79636 is 6340379412.

LCM(79617,79636) = 6340379412

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Least Common Multiple of 79617 and 79636 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 79636, than apply into the LCM equation.

GCF(79617,79636) = 1
LCM(79617,79636) = ( 79617 × 79636) / 1
LCM(79617,79636) = 6340379412 / 1
LCM(79617,79636) = 6340379412

Least Common Multiple (LCM) of 79617 and 79636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79617 and 79636. First we will calculate the prime factors of 79617 and 79636.

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 79636

Prime factors of 79636 are 2, 43, 463. Prime factorization of 79636 in exponential form is:

79636 = 22 × 431 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 79617 and 79636.

LCM(79617,79636) = 31 × 265391 × 22 × 431 × 4631
LCM(79617,79636) = 6340379412