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What is the Least Common Multiple of 88022 and 88027?

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 88022 and 88027 is 7748312594.

LCM(88022,88027) = 7748312594

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Least Common Multiple of 88022 and 88027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88022 and 88027, than apply into the LCM equation.

GCF(88022,88027) = 1
LCM(88022,88027) = ( 88022 × 88027) / 1
LCM(88022,88027) = 7748312594 / 1
LCM(88022,88027) = 7748312594

Least Common Multiple (LCM) of 88022 and 88027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88022 and 88027. First we will calculate the prime factors of 88022 and 88027.

Prime Factorization of 88022

Prime factors of 88022 are 2, 11, 4001. Prime factorization of 88022 in exponential form is:

88022 = 21 × 111 × 40011

Prime Factorization of 88027

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

88027 = 191 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 88022 and 88027.

LCM(88022,88027) = 21 × 111 × 40011 × 191 × 411 × 1131
LCM(88022,88027) = 7748312594