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What is the Least Common Multiple of 54708 and 54726?

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 54708 and 54726 is 498991668.

LCM(54708,54726) = 498991668

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Least Common Multiple of 54708 and 54726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54708 and 54726, than apply into the LCM equation.

GCF(54708,54726) = 6
LCM(54708,54726) = ( 54708 × 54726) / 6
LCM(54708,54726) = 2993950008 / 6
LCM(54708,54726) = 498991668

Least Common Multiple (LCM) of 54708 and 54726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54708 and 54726. First we will calculate the prime factors of 54708 and 54726.

Prime Factorization of 54708

Prime factors of 54708 are 2, 3, 47, 97. Prime factorization of 54708 in exponential form is:

54708 = 22 × 31 × 471 × 971

Prime Factorization of 54726

Prime factors of 54726 are 2, 3, 7, 1303. Prime factorization of 54726 in exponential form is:

54726 = 21 × 31 × 71 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 54708 and 54726.

LCM(54708,54726) = 22 × 31 × 471 × 971 × 71 × 13031
LCM(54708,54726) = 498991668