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What is the Least Common Multiple of 50639 and 50651?

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 50639 and 50651 is 2564915989.

LCM(50639,50651) = 2564915989

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Least Common Multiple of 50639 and 50651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50639 and 50651, than apply into the LCM equation.

GCF(50639,50651) = 1
LCM(50639,50651) = ( 50639 × 50651) / 1
LCM(50639,50651) = 2564915989 / 1
LCM(50639,50651) = 2564915989

Least Common Multiple (LCM) of 50639 and 50651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50639 and 50651. First we will calculate the prime factors of 50639 and 50651.

Prime Factorization of 50639

Prime factors of 50639 are 79, 641. Prime factorization of 50639 in exponential form is:

50639 = 791 × 6411

Prime Factorization of 50651

Prime factors of 50651 are 50651. Prime factorization of 50651 in exponential form is:

50651 = 506511

Now multiplying the highest exponent prime factors to calculate the LCM of 50639 and 50651.

LCM(50639,50651) = 791 × 6411 × 506511
LCM(50639,50651) = 2564915989