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What is the Least Common Multiple of 11622 and 11631?

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 11622 and 11631 is 45058494.

LCM(11622,11631) = 45058494

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Least Common Multiple of 11622 and 11631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11622 and 11631, than apply into the LCM equation.

GCF(11622,11631) = 3
LCM(11622,11631) = ( 11622 × 11631) / 3
LCM(11622,11631) = 135175482 / 3
LCM(11622,11631) = 45058494

Least Common Multiple (LCM) of 11622 and 11631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11622 and 11631. First we will calculate the prime factors of 11622 and 11631.

Prime Factorization of 11622

Prime factors of 11622 are 2, 3, 13, 149. Prime factorization of 11622 in exponential form is:

11622 = 21 × 31 × 131 × 1491

Prime Factorization of 11631

Prime factors of 11631 are 3, 3877. Prime factorization of 11631 in exponential form is:

11631 = 31 × 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 11622 and 11631.

LCM(11622,11631) = 21 × 31 × 131 × 1491 × 38771
LCM(11622,11631) = 45058494