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What is the Least Common Multiple of 88720 and 88727?

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 88720 and 88727 is 7871859440.

LCM(88720,88727) = 7871859440

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Least Common Multiple of 88720 and 88727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88720 and 88727, than apply into the LCM equation.

GCF(88720,88727) = 1
LCM(88720,88727) = ( 88720 × 88727) / 1
LCM(88720,88727) = 7871859440 / 1
LCM(88720,88727) = 7871859440

Least Common Multiple (LCM) of 88720 and 88727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88720 and 88727. First we will calculate the prime factors of 88720 and 88727.

Prime Factorization of 88720

Prime factors of 88720 are 2, 5, 1109. Prime factorization of 88720 in exponential form is:

88720 = 24 × 51 × 11091

Prime Factorization of 88727

Prime factors of 88727 are 83, 1069. Prime factorization of 88727 in exponential form is:

88727 = 831 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 88720 and 88727.

LCM(88720,88727) = 24 × 51 × 11091 × 831 × 10691
LCM(88720,88727) = 7871859440