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What is the Least Common Multiple of 88027 and 88045?

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 88027 and 88045 is 7750337215.

LCM(88027,88045) = 7750337215

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Least Common Multiple of 88027 and 88045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88027 and 88045, than apply into the LCM equation.

GCF(88027,88045) = 1
LCM(88027,88045) = ( 88027 × 88045) / 1
LCM(88027,88045) = 7750337215 / 1
LCM(88027,88045) = 7750337215

Least Common Multiple (LCM) of 88027 and 88045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88027 and 88045. First we will calculate the prime factors of 88027 and 88045.

Prime Factorization of 88027

Prime factors of 88027 are 19, 41, 113. Prime factorization of 88027 in exponential form is:

88027 = 191 × 411 × 1131

Prime Factorization of 88045

Prime factors of 88045 are 5, 17609. Prime factorization of 88045 in exponential form is:

88045 = 51 × 176091

Now multiplying the highest exponent prime factors to calculate the LCM of 88027 and 88045.

LCM(88027,88045) = 191 × 411 × 1131 × 51 × 176091
LCM(88027,88045) = 7750337215