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What is the Least Common Multiple of 88603 and 88613?

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 88603 and 88613 is 7851377639.

LCM(88603,88613) = 7851377639

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Least Common Multiple of 88603 and 88613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88603 and 88613, than apply into the LCM equation.

GCF(88603,88613) = 1
LCM(88603,88613) = ( 88603 × 88613) / 1
LCM(88603,88613) = 7851377639 / 1
LCM(88603,88613) = 7851377639

Least Common Multiple (LCM) of 88603 and 88613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88603 and 88613. First we will calculate the prime factors of 88603 and 88613.

Prime Factorization of 88603

Prime factors of 88603 are 251, 353. Prime factorization of 88603 in exponential form is:

88603 = 2511 × 3531

Prime Factorization of 88613

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

88613 = 71 × 126591

Now multiplying the highest exponent prime factors to calculate the LCM of 88603 and 88613.

LCM(88603,88613) = 2511 × 3531 × 71 × 126591
LCM(88603,88613) = 7851377639