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What is the Least Common Multiple of 54099 and 54107?

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 54099 and 54107 is 2927134593.

LCM(54099,54107) = 2927134593

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Least Common Multiple of 54099 and 54107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54099 and 54107, than apply into the LCM equation.

GCF(54099,54107) = 1
LCM(54099,54107) = ( 54099 × 54107) / 1
LCM(54099,54107) = 2927134593 / 1
LCM(54099,54107) = 2927134593

Least Common Multiple (LCM) of 54099 and 54107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54099 and 54107. First we will calculate the prime factors of 54099 and 54107.

Prime Factorization of 54099

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

54099 = 32 × 60111

Prime Factorization of 54107

Prime factors of 54107 are 61, 887. Prime factorization of 54107 in exponential form is:

54107 = 611 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 54099 and 54107.

LCM(54099,54107) = 32 × 60111 × 611 × 8871
LCM(54099,54107) = 2927134593