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What is the Least Common Multiple of 54684 and 54699?

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 54684 and 54699 is 997053372.

LCM(54684,54699) = 997053372

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Least Common Multiple of 54684 and 54699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54684 and 54699, than apply into the LCM equation.

GCF(54684,54699) = 3
LCM(54684,54699) = ( 54684 × 54699) / 3
LCM(54684,54699) = 2991160116 / 3
LCM(54684,54699) = 997053372

Least Common Multiple (LCM) of 54684 and 54699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54684 and 54699. First we will calculate the prime factors of 54684 and 54699.

Prime Factorization of 54684

Prime factors of 54684 are 2, 3, 7, 31. Prime factorization of 54684 in exponential form is:

54684 = 22 × 32 × 72 × 311

Prime Factorization of 54699

Prime factors of 54699 are 3, 18233. Prime factorization of 54699 in exponential form is:

54699 = 31 × 182331

Now multiplying the highest exponent prime factors to calculate the LCM of 54684 and 54699.

LCM(54684,54699) = 22 × 32 × 72 × 311 × 182331
LCM(54684,54699) = 997053372