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What is the Least Common Multiple of 87697 and 87701?

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 87697 and 87701 is 7691114597.

LCM(87697,87701) = 7691114597

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Least Common Multiple of 87697 and 87701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87697 and 87701, than apply into the LCM equation.

GCF(87697,87701) = 1
LCM(87697,87701) = ( 87697 × 87701) / 1
LCM(87697,87701) = 7691114597 / 1
LCM(87697,87701) = 7691114597

Least Common Multiple (LCM) of 87697 and 87701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87697 and 87701. First we will calculate the prime factors of 87697 and 87701.

Prime Factorization of 87697

Prime factors of 87697 are 87697. Prime factorization of 87697 in exponential form is:

87697 = 876971

Prime Factorization of 87701

Prime factors of 87701 are 87701. Prime factorization of 87701 in exponential form is:

87701 = 877011

Now multiplying the highest exponent prime factors to calculate the LCM of 87697 and 87701.

LCM(87697,87701) = 876971 × 877011
LCM(87697,87701) = 7691114597