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What is the Least Common Multiple of 87656 and 87661?

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 87656 and 87661 is 7684012616.

LCM(87656,87661) = 7684012616

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Least Common Multiple of 87656 and 87661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87656 and 87661, than apply into the LCM equation.

GCF(87656,87661) = 1
LCM(87656,87661) = ( 87656 × 87661) / 1
LCM(87656,87661) = 7684012616 / 1
LCM(87656,87661) = 7684012616

Least Common Multiple (LCM) of 87656 and 87661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87656 and 87661. First we will calculate the prime factors of 87656 and 87661.

Prime Factorization of 87656

Prime factors of 87656 are 2, 10957. Prime factorization of 87656 in exponential form is:

87656 = 23 × 109571

Prime Factorization of 87661

Prime factors of 87661 are 7, 1789. Prime factorization of 87661 in exponential form is:

87661 = 72 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 87656 and 87661.

LCM(87656,87661) = 23 × 109571 × 72 × 17891
LCM(87656,87661) = 7684012616