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What is the Least Common Multiple of 54080 and 54099?

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 54080 and 54099 is 2925673920.

LCM(54080,54099) = 2925673920

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Least Common Multiple of 54080 and 54099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54080 and 54099, than apply into the LCM equation.

GCF(54080,54099) = 1
LCM(54080,54099) = ( 54080 × 54099) / 1
LCM(54080,54099) = 2925673920 / 1
LCM(54080,54099) = 2925673920

Least Common Multiple (LCM) of 54080 and 54099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54080 and 54099. First we will calculate the prime factors of 54080 and 54099.

Prime Factorization of 54080

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

54080 = 26 × 51 × 132

Prime Factorization of 54099

Prime factors of 54099 are 3, 6011. Prime factorization of 54099 in exponential form is:

54099 = 32 × 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 54080 and 54099.

LCM(54080,54099) = 26 × 51 × 132 × 32 × 60111
LCM(54080,54099) = 2925673920