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What is the Least Common Multiple of 47701 and 47715?

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 47701 and 47715 is 2276053215.

LCM(47701,47715) = 2276053215

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Least Common Multiple of 47701 and 47715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47701 and 47715, than apply into the LCM equation.

GCF(47701,47715) = 1
LCM(47701,47715) = ( 47701 × 47715) / 1
LCM(47701,47715) = 2276053215 / 1
LCM(47701,47715) = 2276053215

Least Common Multiple (LCM) of 47701 and 47715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47701 and 47715. First we will calculate the prime factors of 47701 and 47715.

Prime Factorization of 47701

Prime factors of 47701 are 47701. Prime factorization of 47701 in exponential form is:

47701 = 477011

Prime Factorization of 47715

Prime factors of 47715 are 3, 5, 3181. Prime factorization of 47715 in exponential form is:

47715 = 31 × 51 × 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 47701 and 47715.

LCM(47701,47715) = 477011 × 31 × 51 × 31811
LCM(47701,47715) = 2276053215