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What is the Least Common Multiple of 54630 and 54650?

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 54630 and 54650 is 298552950.

LCM(54630,54650) = 298552950

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Least Common Multiple of 54630 and 54650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54630 and 54650, than apply into the LCM equation.

GCF(54630,54650) = 10
LCM(54630,54650) = ( 54630 × 54650) / 10
LCM(54630,54650) = 2985529500 / 10
LCM(54630,54650) = 298552950

Least Common Multiple (LCM) of 54630 and 54650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54630 and 54650. First we will calculate the prime factors of 54630 and 54650.

Prime Factorization of 54630

Prime factors of 54630 are 2, 3, 5, 607. Prime factorization of 54630 in exponential form is:

54630 = 21 × 32 × 51 × 6071

Prime Factorization of 54650

Prime factors of 54650 are 2, 5, 1093. Prime factorization of 54650 in exponential form is:

54650 = 21 × 52 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 54630 and 54650.

LCM(54630,54650) = 21 × 32 × 52 × 6071 × 10931
LCM(54630,54650) = 298552950