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What is the Least Common Multiple of 70617 and 70622?

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 70617 and 70622 is 4987113774.

LCM(70617,70622) = 4987113774

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Least Common Multiple of 70617 and 70622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70617 and 70622, than apply into the LCM equation.

GCF(70617,70622) = 1
LCM(70617,70622) = ( 70617 × 70622) / 1
LCM(70617,70622) = 4987113774 / 1
LCM(70617,70622) = 4987113774

Least Common Multiple (LCM) of 70617 and 70622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70617 and 70622. First we will calculate the prime factors of 70617 and 70622.

Prime Factorization of 70617

Prime factors of 70617 are 3, 23539. Prime factorization of 70617 in exponential form is:

70617 = 31 × 235391

Prime Factorization of 70622

Prime factors of 70622 are 2, 35311. Prime factorization of 70622 in exponential form is:

70622 = 21 × 353111

Now multiplying the highest exponent prime factors to calculate the LCM of 70617 and 70622.

LCM(70617,70622) = 31 × 235391 × 21 × 353111
LCM(70617,70622) = 4987113774