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What is the Least Common Multiple of 54729 and 54747?

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 54729 and 54747 is 332916507.

LCM(54729,54747) = 332916507

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Least Common Multiple of 54729 and 54747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54729 and 54747, than apply into the LCM equation.

GCF(54729,54747) = 9
LCM(54729,54747) = ( 54729 × 54747) / 9
LCM(54729,54747) = 2996248563 / 9
LCM(54729,54747) = 332916507

Least Common Multiple (LCM) of 54729 and 54747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54729 and 54747. First we will calculate the prime factors of 54729 and 54747.

Prime Factorization of 54729

Prime factors of 54729 are 3, 2027. Prime factorization of 54729 in exponential form is:

54729 = 33 × 20271

Prime Factorization of 54747

Prime factors of 54747 are 3, 7, 11, 79. Prime factorization of 54747 in exponential form is:

54747 = 32 × 71 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 54729 and 54747.

LCM(54729,54747) = 33 × 20271 × 71 × 111 × 791
LCM(54729,54747) = 332916507