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What is the Least Common Multiple of 23244 and 23262?

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 23244 and 23262 is 90116988.

LCM(23244,23262) = 90116988

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Least Common Multiple of 23244 and 23262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23244 and 23262, than apply into the LCM equation.

GCF(23244,23262) = 6
LCM(23244,23262) = ( 23244 × 23262) / 6
LCM(23244,23262) = 540701928 / 6
LCM(23244,23262) = 90116988

Least Common Multiple (LCM) of 23244 and 23262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23244 and 23262. First we will calculate the prime factors of 23244 and 23262.

Prime Factorization of 23244

Prime factors of 23244 are 2, 3, 13, 149. Prime factorization of 23244 in exponential form is:

23244 = 22 × 31 × 131 × 1491

Prime Factorization of 23262

Prime factors of 23262 are 2, 3, 3877. Prime factorization of 23262 in exponential form is:

23262 = 21 × 31 × 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 23244 and 23262.

LCM(23244,23262) = 22 × 31 × 131 × 1491 × 38771
LCM(23244,23262) = 90116988