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What is the Least Common Multiple of 54714 and 54727?

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 54714 and 54727 is 2994333078.

LCM(54714,54727) = 2994333078

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Least Common Multiple of 54714 and 54727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54714 and 54727, than apply into the LCM equation.

GCF(54714,54727) = 1
LCM(54714,54727) = ( 54714 × 54727) / 1
LCM(54714,54727) = 2994333078 / 1
LCM(54714,54727) = 2994333078

Least Common Multiple (LCM) of 54714 and 54727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54714 and 54727. First we will calculate the prime factors of 54714 and 54727.

Prime Factorization of 54714

Prime factors of 54714 are 2, 3, 11, 829. Prime factorization of 54714 in exponential form is:

54714 = 21 × 31 × 111 × 8291

Prime Factorization of 54727

Prime factors of 54727 are 54727. Prime factorization of 54727 in exponential form is:

54727 = 547271

Now multiplying the highest exponent prime factors to calculate the LCM of 54714 and 54727.

LCM(54714,54727) = 21 × 31 × 111 × 8291 × 547271
LCM(54714,54727) = 2994333078