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What is the Least Common Multiple of 88788 and 88801?

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 88788 and 88801 is 7884463188.

LCM(88788,88801) = 7884463188

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Least Common Multiple of 88788 and 88801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88788 and 88801, than apply into the LCM equation.

GCF(88788,88801) = 1
LCM(88788,88801) = ( 88788 × 88801) / 1
LCM(88788,88801) = 7884463188 / 1
LCM(88788,88801) = 7884463188

Least Common Multiple (LCM) of 88788 and 88801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88788 and 88801. First we will calculate the prime factors of 88788 and 88801.

Prime Factorization of 88788

Prime factors of 88788 are 2, 3, 7, 151. Prime factorization of 88788 in exponential form is:

88788 = 22 × 31 × 72 × 1511

Prime Factorization of 88801

Prime factors of 88801 are 88801. Prime factorization of 88801 in exponential form is:

88801 = 888011

Now multiplying the highest exponent prime factors to calculate the LCM of 88788 and 88801.

LCM(88788,88801) = 22 × 31 × 72 × 1511 × 888011
LCM(88788,88801) = 7884463188