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What is the Least Common Multiple of 70611 and 70616?

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 70611 and 70616 is 4986266376.

LCM(70611,70616) = 4986266376

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Least Common Multiple of 70611 and 70616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70611 and 70616, than apply into the LCM equation.

GCF(70611,70616) = 1
LCM(70611,70616) = ( 70611 × 70616) / 1
LCM(70611,70616) = 4986266376 / 1
LCM(70611,70616) = 4986266376

Least Common Multiple (LCM) of 70611 and 70616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70611 and 70616. First we will calculate the prime factors of 70611 and 70616.

Prime Factorization of 70611

Prime factors of 70611 are 3, 23537. Prime factorization of 70611 in exponential form is:

70611 = 31 × 235371

Prime Factorization of 70616

Prime factors of 70616 are 2, 7, 13, 97. Prime factorization of 70616 in exponential form is:

70616 = 23 × 71 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 70611 and 70616.

LCM(70611,70616) = 31 × 235371 × 23 × 71 × 131 × 971
LCM(70611,70616) = 4986266376