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What is the Least Common Multiple of 88044 and 88057?

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 88044 and 88057 is 7752890508.

LCM(88044,88057) = 7752890508

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Least Common Multiple of 88044 and 88057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88044 and 88057, than apply into the LCM equation.

GCF(88044,88057) = 1
LCM(88044,88057) = ( 88044 × 88057) / 1
LCM(88044,88057) = 7752890508 / 1
LCM(88044,88057) = 7752890508

Least Common Multiple (LCM) of 88044 and 88057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88044 and 88057. First we will calculate the prime factors of 88044 and 88057.

Prime Factorization of 88044

Prime factors of 88044 are 2, 3, 11, 23, 29. Prime factorization of 88044 in exponential form is:

88044 = 22 × 31 × 111 × 231 × 291

Prime Factorization of 88057

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

88057 = 1731 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 88044 and 88057.

LCM(88044,88057) = 22 × 31 × 111 × 231 × 291 × 1731 × 5091
LCM(88044,88057) = 7752890508