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What is the Least Common Multiple of 70611 and 70615?

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 70615 is 4986195765.

LCM(70611,70615) = 4986195765

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Least Common Multiple of 70611 and 70615 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 70615, than apply into the LCM equation.

GCF(70611,70615) = 1
LCM(70611,70615) = ( 70611 × 70615) / 1
LCM(70611,70615) = 4986195765 / 1
LCM(70611,70615) = 4986195765

Least Common Multiple (LCM) of 70611 and 70615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70611 and 70615. First we will calculate the prime factors of 70611 and 70615.

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 70615

Prime factors of 70615 are 5, 29, 487. Prime factorization of 70615 in exponential form is:

70615 = 51 × 291 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 70611 and 70615.

LCM(70611,70615) = 31 × 235371 × 51 × 291 × 4871
LCM(70611,70615) = 4986195765