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What is the Least Common Multiple of 88057 and 88069?

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 88057 and 88069 is 7755091933.

LCM(88057,88069) = 7755091933

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Least Common Multiple of 88057 and 88069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88057 and 88069, than apply into the LCM equation.

GCF(88057,88069) = 1
LCM(88057,88069) = ( 88057 × 88069) / 1
LCM(88057,88069) = 7755091933 / 1
LCM(88057,88069) = 7755091933

Least Common Multiple (LCM) of 88057 and 88069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88057 and 88069. First we will calculate the prime factors of 88057 and 88069.

Prime Factorization of 88057

Prime factors of 88057 are 173, 509. Prime factorization of 88057 in exponential form is:

88057 = 1731 × 5091

Prime Factorization of 88069

Prime factors of 88069 are 88069. Prime factorization of 88069 in exponential form is:

88069 = 880691

Now multiplying the highest exponent prime factors to calculate the LCM of 88057 and 88069.

LCM(88057,88069) = 1731 × 5091 × 880691
LCM(88057,88069) = 7755091933