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What is the Least Common Multiple of 88156 and 88162?

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 88156 and 88162 is 3886004636.

LCM(88156,88162) = 3886004636

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Least Common Multiple of 88156 and 88162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88156 and 88162, than apply into the LCM equation.

GCF(88156,88162) = 2
LCM(88156,88162) = ( 88156 × 88162) / 2
LCM(88156,88162) = 7772009272 / 2
LCM(88156,88162) = 3886004636

Least Common Multiple (LCM) of 88156 and 88162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88156 and 88162. First we will calculate the prime factors of 88156 and 88162.

Prime Factorization of 88156

Prime factors of 88156 are 2, 22039. Prime factorization of 88156 in exponential form is:

88156 = 22 × 220391

Prime Factorization of 88162

Prime factors of 88162 are 2, 17, 2593. Prime factorization of 88162 in exponential form is:

88162 = 21 × 171 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 88156 and 88162.

LCM(88156,88162) = 22 × 220391 × 171 × 25931
LCM(88156,88162) = 3886004636