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What is the Least Common Multiple of 88152 and 88161?

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 88152 and 88161 is 2590522824.

LCM(88152,88161) = 2590522824

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Least Common Multiple of 88152 and 88161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88152 and 88161, than apply into the LCM equation.

GCF(88152,88161) = 3
LCM(88152,88161) = ( 88152 × 88161) / 3
LCM(88152,88161) = 7771568472 / 3
LCM(88152,88161) = 2590522824

Least Common Multiple (LCM) of 88152 and 88161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88152 and 88161. First we will calculate the prime factors of 88152 and 88161.

Prime Factorization of 88152

Prime factors of 88152 are 2, 3, 3673. Prime factorization of 88152 in exponential form is:

88152 = 23 × 31 × 36731

Prime Factorization of 88161

Prime factors of 88161 are 3, 29387. Prime factorization of 88161 in exponential form is:

88161 = 31 × 293871

Now multiplying the highest exponent prime factors to calculate the LCM of 88152 and 88161.

LCM(88152,88161) = 23 × 31 × 36731 × 293871
LCM(88152,88161) = 2590522824