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What is the Least Common Multiple of 51532 and 51539?

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 51532 and 51539 is 2655907748.

LCM(51532,51539) = 2655907748

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Least Common Multiple of 51532 and 51539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51532 and 51539, than apply into the LCM equation.

GCF(51532,51539) = 1
LCM(51532,51539) = ( 51532 × 51539) / 1
LCM(51532,51539) = 2655907748 / 1
LCM(51532,51539) = 2655907748

Least Common Multiple (LCM) of 51532 and 51539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51532 and 51539. First we will calculate the prime factors of 51532 and 51539.

Prime Factorization of 51532

Prime factors of 51532 are 2, 13, 991. Prime factorization of 51532 in exponential form is:

51532 = 22 × 131 × 9911

Prime Factorization of 51539

Prime factors of 51539 are 51539. Prime factorization of 51539 in exponential form is:

51539 = 515391

Now multiplying the highest exponent prime factors to calculate the LCM of 51532 and 51539.

LCM(51532,51539) = 22 × 131 × 9911 × 515391
LCM(51532,51539) = 2655907748