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What is the Least Common Multiple of 88652 and 88663?

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 88652 and 88663 is 7860152276.

LCM(88652,88663) = 7860152276

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Least Common Multiple of 88652 and 88663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88652 and 88663, than apply into the LCM equation.

GCF(88652,88663) = 1
LCM(88652,88663) = ( 88652 × 88663) / 1
LCM(88652,88663) = 7860152276 / 1
LCM(88652,88663) = 7860152276

Least Common Multiple (LCM) of 88652 and 88663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88652 and 88663. First we will calculate the prime factors of 88652 and 88663.

Prime Factorization of 88652

Prime factors of 88652 are 2, 37, 599. Prime factorization of 88652 in exponential form is:

88652 = 22 × 371 × 5991

Prime Factorization of 88663

Prime factors of 88663 are 88663. Prime factorization of 88663 in exponential form is:

88663 = 886631

Now multiplying the highest exponent prime factors to calculate the LCM of 88652 and 88663.

LCM(88652,88663) = 22 × 371 × 5991 × 886631
LCM(88652,88663) = 7860152276