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What is the Least Common Multiple of 47616 and 47620?

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 47616 and 47620 is 566868480.

LCM(47616,47620) = 566868480

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Least Common Multiple of 47616 and 47620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47616 and 47620, than apply into the LCM equation.

GCF(47616,47620) = 4
LCM(47616,47620) = ( 47616 × 47620) / 4
LCM(47616,47620) = 2267473920 / 4
LCM(47616,47620) = 566868480

Least Common Multiple (LCM) of 47616 and 47620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47616 and 47620. First we will calculate the prime factors of 47616 and 47620.

Prime Factorization of 47616

Prime factors of 47616 are 2, 3, 31. Prime factorization of 47616 in exponential form is:

47616 = 29 × 31 × 311

Prime Factorization of 47620

Prime factors of 47620 are 2, 5, 2381. Prime factorization of 47620 in exponential form is:

47620 = 22 × 51 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 47616 and 47620.

LCM(47616,47620) = 29 × 31 × 311 × 51 × 23811
LCM(47616,47620) = 566868480