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What is the Least Common Multiple of 13612 and 13623?

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 13612 and 13623 is 185436276.

LCM(13612,13623) = 185436276

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Least Common Multiple of 13612 and 13623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13612 and 13623, than apply into the LCM equation.

GCF(13612,13623) = 1
LCM(13612,13623) = ( 13612 × 13623) / 1
LCM(13612,13623) = 185436276 / 1
LCM(13612,13623) = 185436276

Least Common Multiple (LCM) of 13612 and 13623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13612 and 13623. First we will calculate the prime factors of 13612 and 13623.

Prime Factorization of 13612

Prime factors of 13612 are 2, 41, 83. Prime factorization of 13612 in exponential form is:

13612 = 22 × 411 × 831

Prime Factorization of 13623

Prime factors of 13623 are 3, 19, 239. Prime factorization of 13623 in exponential form is:

13623 = 31 × 191 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 13612 and 13623.

LCM(13612,13623) = 22 × 411 × 831 × 31 × 191 × 2391
LCM(13612,13623) = 185436276