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What is the Least Common Multiple of 88488 and 88495?

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 88488 and 88495 is 7830745560.

LCM(88488,88495) = 7830745560

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Least Common Multiple of 88488 and 88495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88488 and 88495, than apply into the LCM equation.

GCF(88488,88495) = 1
LCM(88488,88495) = ( 88488 × 88495) / 1
LCM(88488,88495) = 7830745560 / 1
LCM(88488,88495) = 7830745560

Least Common Multiple (LCM) of 88488 and 88495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88488 and 88495. First we will calculate the prime factors of 88488 and 88495.

Prime Factorization of 88488

Prime factors of 88488 are 2, 3, 1229. Prime factorization of 88488 in exponential form is:

88488 = 23 × 32 × 12291

Prime Factorization of 88495

Prime factors of 88495 are 5, 11, 1609. Prime factorization of 88495 in exponential form is:

88495 = 51 × 111 × 16091

Now multiplying the highest exponent prime factors to calculate the LCM of 88488 and 88495.

LCM(88488,88495) = 23 × 32 × 12291 × 51 × 111 × 16091
LCM(88488,88495) = 7830745560