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What is the Least Common Multiple of 54708 and 54713?

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 54713 is 2993238804.

LCM(54708,54713) = 2993238804

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Least Common Multiple of 54708 and 54713 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 54713, than apply into the LCM equation.

GCF(54708,54713) = 1
LCM(54708,54713) = ( 54708 × 54713) / 1
LCM(54708,54713) = 2993238804 / 1
LCM(54708,54713) = 2993238804

Least Common Multiple (LCM) of 54708 and 54713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54708 and 54713. First we will calculate the prime factors of 54708 and 54713.

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 54713

Prime factors of 54713 are 54713. Prime factorization of 54713 in exponential form is:

54713 = 547131

Now multiplying the highest exponent prime factors to calculate the LCM of 54708 and 54713.

LCM(54708,54713) = 22 × 31 × 471 × 971 × 547131
LCM(54708,54713) = 2993238804