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What is the Least Common Multiple of 51868 and 51883?

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 51868 and 51883 is 2691067444.

LCM(51868,51883) = 2691067444

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Least Common Multiple of 51868 and 51883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51868 and 51883, than apply into the LCM equation.

GCF(51868,51883) = 1
LCM(51868,51883) = ( 51868 × 51883) / 1
LCM(51868,51883) = 2691067444 / 1
LCM(51868,51883) = 2691067444

Least Common Multiple (LCM) of 51868 and 51883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51868 and 51883. First we will calculate the prime factors of 51868 and 51883.

Prime Factorization of 51868

Prime factors of 51868 are 2, 12967. Prime factorization of 51868 in exponential form is:

51868 = 22 × 129671

Prime Factorization of 51883

Prime factors of 51883 are 13, 307. Prime factorization of 51883 in exponential form is:

51883 = 132 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 51868 and 51883.

LCM(51868,51883) = 22 × 129671 × 132 × 3071
LCM(51868,51883) = 2691067444