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What is the Least Common Multiple of 88707 and 88721?

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 88707 and 88721 is 7870173747.

LCM(88707,88721) = 7870173747

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Least Common Multiple of 88707 and 88721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88707 and 88721, than apply into the LCM equation.

GCF(88707,88721) = 1
LCM(88707,88721) = ( 88707 × 88721) / 1
LCM(88707,88721) = 7870173747 / 1
LCM(88707,88721) = 7870173747

Least Common Multiple (LCM) of 88707 and 88721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88707 and 88721. First we will calculate the prime factors of 88707 and 88721.

Prime Factorization of 88707

Prime factors of 88707 are 3, 29569. Prime factorization of 88707 in exponential form is:

88707 = 31 × 295691

Prime Factorization of 88721

Prime factors of 88721 are 88721. Prime factorization of 88721 in exponential form is:

88721 = 887211

Now multiplying the highest exponent prime factors to calculate the LCM of 88707 and 88721.

LCM(88707,88721) = 31 × 295691 × 887211
LCM(88707,88721) = 7870173747