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What is the Least Common Multiple of 47627 and 47640?

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 47627 and 47640 is 2268950280.

LCM(47627,47640) = 2268950280

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Least Common Multiple of 47627 and 47640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47627 and 47640, than apply into the LCM equation.

GCF(47627,47640) = 1
LCM(47627,47640) = ( 47627 × 47640) / 1
LCM(47627,47640) = 2268950280 / 1
LCM(47627,47640) = 2268950280

Least Common Multiple (LCM) of 47627 and 47640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47627 and 47640. First we will calculate the prime factors of 47627 and 47640.

Prime Factorization of 47627

Prime factors of 47627 are 97, 491. Prime factorization of 47627 in exponential form is:

47627 = 971 × 4911

Prime Factorization of 47640

Prime factors of 47640 are 2, 3, 5, 397. Prime factorization of 47640 in exponential form is:

47640 = 23 × 31 × 51 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 47627 and 47640.

LCM(47627,47640) = 971 × 4911 × 23 × 31 × 51 × 3971
LCM(47627,47640) = 2268950280