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What is the Least Common Multiple of 54594 and 54610?

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 54594 and 54610 is 1490689170.

LCM(54594,54610) = 1490689170

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Least Common Multiple of 54594 and 54610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54594 and 54610, than apply into the LCM equation.

GCF(54594,54610) = 2
LCM(54594,54610) = ( 54594 × 54610) / 2
LCM(54594,54610) = 2981378340 / 2
LCM(54594,54610) = 1490689170

Least Common Multiple (LCM) of 54594 and 54610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54594 and 54610. First we will calculate the prime factors of 54594 and 54610.

Prime Factorization of 54594

Prime factors of 54594 are 2, 3, 337. Prime factorization of 54594 in exponential form is:

54594 = 21 × 34 × 3371

Prime Factorization of 54610

Prime factors of 54610 are 2, 5, 43, 127. Prime factorization of 54610 in exponential form is:

54610 = 21 × 51 × 431 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 54594 and 54610.

LCM(54594,54610) = 21 × 34 × 3371 × 51 × 431 × 1271
LCM(54594,54610) = 1490689170