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What is the Least Common Multiple of 51650 and 51663?

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 51650 and 51663 is 2668393950.

LCM(51650,51663) = 2668393950

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Least Common Multiple of 51650 and 51663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51650 and 51663, than apply into the LCM equation.

GCF(51650,51663) = 1
LCM(51650,51663) = ( 51650 × 51663) / 1
LCM(51650,51663) = 2668393950 / 1
LCM(51650,51663) = 2668393950

Least Common Multiple (LCM) of 51650 and 51663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51650 and 51663. First we will calculate the prime factors of 51650 and 51663.

Prime Factorization of 51650

Prime factors of 51650 are 2, 5, 1033. Prime factorization of 51650 in exponential form is:

51650 = 21 × 52 × 10331

Prime Factorization of 51663

Prime factors of 51663 are 3, 17, 1013. Prime factorization of 51663 in exponential form is:

51663 = 31 × 171 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 51650 and 51663.

LCM(51650,51663) = 21 × 52 × 10331 × 31 × 171 × 10131
LCM(51650,51663) = 2668393950