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What is the Least Common Multiple of 88155 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 88155 and 88166 is 7772273730.

LCM(88155,88166) = 7772273730

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Least Common Multiple of 88155 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 88155 and 88166, than apply into the LCM equation.

GCF(88155,88166) = 1
LCM(88155,88166) = ( 88155 × 88166) / 1
LCM(88155,88166) = 7772273730 / 1
LCM(88155,88166) = 7772273730

Least Common Multiple (LCM) of 88155 and 88166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88155 and 88166. First we will calculate the prime factors of 88155 and 88166.

Prime Factorization of 88155

Prime factors of 88155 are 3, 5, 653. Prime factorization of 88155 in exponential form is:

88155 = 33 × 51 × 6531

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 88155 and 88166.

LCM(88155,88166) = 33 × 51 × 6531 × 21 × 131 × 33911
LCM(88155,88166) = 7772273730