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What is the Least Common Multiple of 54671 and 54686?

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 54671 and 54686 is 2989738306.

LCM(54671,54686) = 2989738306

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Least Common Multiple of 54671 and 54686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54671 and 54686, than apply into the LCM equation.

GCF(54671,54686) = 1
LCM(54671,54686) = ( 54671 × 54686) / 1
LCM(54671,54686) = 2989738306 / 1
LCM(54671,54686) = 2989738306

Least Common Multiple (LCM) of 54671 and 54686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54671 and 54686. First we will calculate the prime factors of 54671 and 54686.

Prime Factorization of 54671

Prime factors of 54671 are 23, 2377. Prime factorization of 54671 in exponential form is:

54671 = 231 × 23771

Prime Factorization of 54686

Prime factors of 54686 are 2, 37, 739. Prime factorization of 54686 in exponential form is:

54686 = 21 × 371 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 54671 and 54686.

LCM(54671,54686) = 231 × 23771 × 21 × 371 × 7391
LCM(54671,54686) = 2989738306