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What is the Least Common Multiple of 52627 and 52640?

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 52627 and 52640 is 2770285280.

LCM(52627,52640) = 2770285280

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Least Common Multiple of 52627 and 52640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52627 and 52640, than apply into the LCM equation.

GCF(52627,52640) = 1
LCM(52627,52640) = ( 52627 × 52640) / 1
LCM(52627,52640) = 2770285280 / 1
LCM(52627,52640) = 2770285280

Least Common Multiple (LCM) of 52627 and 52640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52627 and 52640. First we will calculate the prime factors of 52627 and 52640.

Prime Factorization of 52627

Prime factors of 52627 are 52627. Prime factorization of 52627 in exponential form is:

52627 = 526271

Prime Factorization of 52640

Prime factors of 52640 are 2, 5, 7, 47. Prime factorization of 52640 in exponential form is:

52640 = 25 × 51 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 52627 and 52640.

LCM(52627,52640) = 526271 × 25 × 51 × 71 × 471
LCM(52627,52640) = 2770285280