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What is the Least Common Multiple of 88813 and 88822?

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 88813 and 88822 is 7888548286.

LCM(88813,88822) = 7888548286

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Least Common Multiple of 88813 and 88822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88813 and 88822, than apply into the LCM equation.

GCF(88813,88822) = 1
LCM(88813,88822) = ( 88813 × 88822) / 1
LCM(88813,88822) = 7888548286 / 1
LCM(88813,88822) = 7888548286

Least Common Multiple (LCM) of 88813 and 88822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88813 and 88822. First we will calculate the prime factors of 88813 and 88822.

Prime Factorization of 88813

Prime factors of 88813 are 88813. Prime factorization of 88813 in exponential form is:

88813 = 888131

Prime Factorization of 88822

Prime factors of 88822 are 2, 89, 499. Prime factorization of 88822 in exponential form is:

88822 = 21 × 891 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 88813 and 88822.

LCM(88813,88822) = 888131 × 21 × 891 × 4991
LCM(88813,88822) = 7888548286