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What is the Least Common Multiple of 88154 and 88166?

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 88154 and 88166 is 3886092782.

LCM(88154,88166) = 3886092782

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Least Common Multiple of 88154 and 88166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88154 and 88166, than apply into the LCM equation.

GCF(88154,88166) = 2
LCM(88154,88166) = ( 88154 × 88166) / 2
LCM(88154,88166) = 7772185564 / 2
LCM(88154,88166) = 3886092782

Least Common Multiple (LCM) of 88154 and 88166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88154 and 88166. First we will calculate the prime factors of 88154 and 88166.

Prime Factorization of 88154

Prime factors of 88154 are 2, 11, 4007. Prime factorization of 88154 in exponential form is:

88154 = 21 × 111 × 40071

Prime Factorization of 88166

Prime factors of 88166 are 2, 13, 3391. Prime factorization of 88166 in exponential form is:

88166 = 21 × 131 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 88154 and 88166.

LCM(88154,88166) = 21 × 111 × 40071 × 131 × 33911
LCM(88154,88166) = 3886092782