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What is the Least Common Multiple of 54059 and 54079?

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 54059 and 54079 is 2923456661.

LCM(54059,54079) = 2923456661

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Least Common Multiple of 54059 and 54079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54059 and 54079, than apply into the LCM equation.

GCF(54059,54079) = 1
LCM(54059,54079) = ( 54059 × 54079) / 1
LCM(54059,54079) = 2923456661 / 1
LCM(54059,54079) = 2923456661

Least Common Multiple (LCM) of 54059 and 54079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54059 and 54079. First we will calculate the prime factors of 54059 and 54079.

Prime Factorization of 54059

Prime factors of 54059 are 54059. Prime factorization of 54059 in exponential form is:

54059 = 540591

Prime Factorization of 54079

Prime factors of 54079 are 41, 1319. Prime factorization of 54079 in exponential form is:

54079 = 411 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 54059 and 54079.

LCM(54059,54079) = 540591 × 411 × 13191
LCM(54059,54079) = 2923456661