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What is the Least Common Multiple of 50942 and 50951?

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 50942 and 50951 is 2595545842.

LCM(50942,50951) = 2595545842

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Least Common Multiple of 50942 and 50951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50942 and 50951, than apply into the LCM equation.

GCF(50942,50951) = 1
LCM(50942,50951) = ( 50942 × 50951) / 1
LCM(50942,50951) = 2595545842 / 1
LCM(50942,50951) = 2595545842

Least Common Multiple (LCM) of 50942 and 50951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50942 and 50951. First we will calculate the prime factors of 50942 and 50951.

Prime Factorization of 50942

Prime factors of 50942 are 2, 25471. Prime factorization of 50942 in exponential form is:

50942 = 21 × 254711

Prime Factorization of 50951

Prime factors of 50951 are 50951. Prime factorization of 50951 in exponential form is:

50951 = 509511

Now multiplying the highest exponent prime factors to calculate the LCM of 50942 and 50951.

LCM(50942,50951) = 21 × 254711 × 509511
LCM(50942,50951) = 2595545842