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What is the Least Common Multiple of 47623 and 47636?

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 47623 and 47636 is 2268569228.

LCM(47623,47636) = 2268569228

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Least Common Multiple of 47623 and 47636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47623 and 47636, than apply into the LCM equation.

GCF(47623,47636) = 1
LCM(47623,47636) = ( 47623 × 47636) / 1
LCM(47623,47636) = 2268569228 / 1
LCM(47623,47636) = 2268569228

Least Common Multiple (LCM) of 47623 and 47636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47623 and 47636. First we will calculate the prime factors of 47623 and 47636.

Prime Factorization of 47623

Prime factors of 47623 are 47623. Prime factorization of 47623 in exponential form is:

47623 = 476231

Prime Factorization of 47636

Prime factors of 47636 are 2, 11909. Prime factorization of 47636 in exponential form is:

47636 = 22 × 119091

Now multiplying the highest exponent prime factors to calculate the LCM of 47623 and 47636.

LCM(47623,47636) = 476231 × 22 × 119091
LCM(47623,47636) = 2268569228