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What is the Least Common Multiple of 54108 and 54112?

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 54108 and 54112 is 731973024.

LCM(54108,54112) = 731973024

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Least Common Multiple of 54108 and 54112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54108 and 54112, than apply into the LCM equation.

GCF(54108,54112) = 4
LCM(54108,54112) = ( 54108 × 54112) / 4
LCM(54108,54112) = 2927892096 / 4
LCM(54108,54112) = 731973024

Least Common Multiple (LCM) of 54108 and 54112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54108 and 54112. First we will calculate the prime factors of 54108 and 54112.

Prime Factorization of 54108

Prime factors of 54108 are 2, 3, 167. Prime factorization of 54108 in exponential form is:

54108 = 22 × 34 × 1671

Prime Factorization of 54112

Prime factors of 54112 are 2, 19, 89. Prime factorization of 54112 in exponential form is:

54112 = 25 × 191 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 54108 and 54112.

LCM(54108,54112) = 25 × 34 × 1671 × 191 × 891
LCM(54108,54112) = 731973024