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What is the Least Common Multiple of 88613 and 88630?

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 88613 and 88630 is 7853770190.

LCM(88613,88630) = 7853770190

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Least Common Multiple of 88613 and 88630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88613 and 88630, than apply into the LCM equation.

GCF(88613,88630) = 1
LCM(88613,88630) = ( 88613 × 88630) / 1
LCM(88613,88630) = 7853770190 / 1
LCM(88613,88630) = 7853770190

Least Common Multiple (LCM) of 88613 and 88630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88613 and 88630. First we will calculate the prime factors of 88613 and 88630.

Prime Factorization of 88613

Prime factors of 88613 are 7, 12659. Prime factorization of 88613 in exponential form is:

88613 = 71 × 126591

Prime Factorization of 88630

Prime factors of 88630 are 2, 5, 8863. Prime factorization of 88630 in exponential form is:

88630 = 21 × 51 × 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 88613 and 88630.

LCM(88613,88630) = 71 × 126591 × 21 × 51 × 88631
LCM(88613,88630) = 7853770190