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What is the Least Common Multiple of 54102 and 54116?

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 54102 and 54116 is 1463891916.

LCM(54102,54116) = 1463891916

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Least Common Multiple of 54102 and 54116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54102 and 54116, than apply into the LCM equation.

GCF(54102,54116) = 2
LCM(54102,54116) = ( 54102 × 54116) / 2
LCM(54102,54116) = 2927783832 / 2
LCM(54102,54116) = 1463891916

Least Common Multiple (LCM) of 54102 and 54116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54102 and 54116. First we will calculate the prime factors of 54102 and 54116.

Prime Factorization of 54102

Prime factors of 54102 are 2, 3, 71, 127. Prime factorization of 54102 in exponential form is:

54102 = 21 × 31 × 711 × 1271

Prime Factorization of 54116

Prime factors of 54116 are 2, 83, 163. Prime factorization of 54116 in exponential form is:

54116 = 22 × 831 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 54102 and 54116.

LCM(54102,54116) = 22 × 31 × 711 × 1271 × 831 × 1631
LCM(54102,54116) = 1463891916