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What is the Least Common Multiple of 52627 and 52634?

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 52634 is 2769969518.

LCM(52627,52634) = 2769969518

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Least Common Multiple of 52627 and 52634 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 52634, than apply into the LCM equation.

GCF(52627,52634) = 1
LCM(52627,52634) = ( 52627 × 52634) / 1
LCM(52627,52634) = 2769969518 / 1
LCM(52627,52634) = 2769969518

Least Common Multiple (LCM) of 52627 and 52634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52627 and 52634. First we will calculate the prime factors of 52627 and 52634.

Prime Factorization of 52627

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

52627 = 526271

Prime Factorization of 52634

Prime factors of 52634 are 2, 26317. Prime factorization of 52634 in exponential form is:

52634 = 21 × 263171

Now multiplying the highest exponent prime factors to calculate the LCM of 52627 and 52634.

LCM(52627,52634) = 526271 × 21 × 263171
LCM(52627,52634) = 2769969518