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What is the Least Common Multiple of 54076 and 54080?

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 54076 and 54080 is 731107520.

LCM(54076,54080) = 731107520

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Least Common Multiple of 54076 and 54080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54076 and 54080, than apply into the LCM equation.

GCF(54076,54080) = 4
LCM(54076,54080) = ( 54076 × 54080) / 4
LCM(54076,54080) = 2924430080 / 4
LCM(54076,54080) = 731107520

Least Common Multiple (LCM) of 54076 and 54080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54076 and 54080. First we will calculate the prime factors of 54076 and 54080.

Prime Factorization of 54076

Prime factors of 54076 are 2, 11, 1229. Prime factorization of 54076 in exponential form is:

54076 = 22 × 111 × 12291

Prime Factorization of 54080

Prime factors of 54080 are 2, 5, 13. Prime factorization of 54080 in exponential form is:

54080 = 26 × 51 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 54076 and 54080.

LCM(54076,54080) = 26 × 111 × 12291 × 51 × 132
LCM(54076,54080) = 731107520