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What is the Least Common Multiple of 54942 and 54950?

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 54942 and 54950 is 1509531450.

LCM(54942,54950) = 1509531450

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Least Common Multiple of 54942 and 54950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54942 and 54950, than apply into the LCM equation.

GCF(54942,54950) = 2
LCM(54942,54950) = ( 54942 × 54950) / 2
LCM(54942,54950) = 3019062900 / 2
LCM(54942,54950) = 1509531450

Least Common Multiple (LCM) of 54942 and 54950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54942 and 54950. First we will calculate the prime factors of 54942 and 54950.

Prime Factorization of 54942

Prime factors of 54942 are 2, 3, 9157. Prime factorization of 54942 in exponential form is:

54942 = 21 × 31 × 91571

Prime Factorization of 54950

Prime factors of 54950 are 2, 5, 7, 157. Prime factorization of 54950 in exponential form is:

54950 = 21 × 52 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 54942 and 54950.

LCM(54942,54950) = 21 × 31 × 91571 × 52 × 71 × 1571
LCM(54942,54950) = 1509531450