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What is the Least Common Multiple of 54635 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 54635 and 54650 is 597160550.

LCM(54635,54650) = 597160550

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Least Common Multiple of 54635 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 54635 and 54650, than apply into the LCM equation.

GCF(54635,54650) = 5
LCM(54635,54650) = ( 54635 × 54650) / 5
LCM(54635,54650) = 2985802750 / 5
LCM(54635,54650) = 597160550

Least Common Multiple (LCM) of 54635 and 54650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54635 and 54650. First we will calculate the prime factors of 54635 and 54650.

Prime Factorization of 54635

Prime factors of 54635 are 5, 7, 223. Prime factorization of 54635 in exponential form is:

54635 = 51 × 72 × 2231

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 54635 and 54650.

LCM(54635,54650) = 52 × 72 × 2231 × 21 × 10931
LCM(54635,54650) = 597160550