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What is the Least Common Multiple of 54699 and 54716?

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 54699 and 54716 is 2992910484.

LCM(54699,54716) = 2992910484

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Least Common Multiple of 54699 and 54716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54699 and 54716, than apply into the LCM equation.

GCF(54699,54716) = 1
LCM(54699,54716) = ( 54699 × 54716) / 1
LCM(54699,54716) = 2992910484 / 1
LCM(54699,54716) = 2992910484

Least Common Multiple (LCM) of 54699 and 54716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54699 and 54716. First we will calculate the prime factors of 54699 and 54716.

Prime Factorization of 54699

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

54699 = 31 × 182331

Prime Factorization of 54716

Prime factors of 54716 are 2, 13679. Prime factorization of 54716 in exponential form is:

54716 = 22 × 136791

Now multiplying the highest exponent prime factors to calculate the LCM of 54699 and 54716.

LCM(54699,54716) = 31 × 182331 × 22 × 136791
LCM(54699,54716) = 2992910484