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What is the Least Common Multiple of 54664 and 54682?

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 54664 and 54682 is 1494568424.

LCM(54664,54682) = 1494568424

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Least Common Multiple of 54664 and 54682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54664 and 54682, than apply into the LCM equation.

GCF(54664,54682) = 2
LCM(54664,54682) = ( 54664 × 54682) / 2
LCM(54664,54682) = 2989136848 / 2
LCM(54664,54682) = 1494568424

Least Common Multiple (LCM) of 54664 and 54682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54664 and 54682. First we will calculate the prime factors of 54664 and 54682.

Prime Factorization of 54664

Prime factors of 54664 are 2, 6833. Prime factorization of 54664 in exponential form is:

54664 = 23 × 68331

Prime Factorization of 54682

Prime factors of 54682 are 2, 19, 1439. Prime factorization of 54682 in exponential form is:

54682 = 21 × 191 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 54664 and 54682.

LCM(54664,54682) = 23 × 68331 × 191 × 14391
LCM(54664,54682) = 1494568424