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What is the Least Common Multiple of 54237 and 54249?

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 54237 and 54249 is 980767671.

LCM(54237,54249) = 980767671

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Least Common Multiple of 54237 and 54249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54237 and 54249, than apply into the LCM equation.

GCF(54237,54249) = 3
LCM(54237,54249) = ( 54237 × 54249) / 3
LCM(54237,54249) = 2942303013 / 3
LCM(54237,54249) = 980767671

Least Common Multiple (LCM) of 54237 and 54249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54237 and 54249. First we will calculate the prime factors of 54237 and 54249.

Prime Factorization of 54237

Prime factors of 54237 are 3, 101, 179. Prime factorization of 54237 in exponential form is:

54237 = 31 × 1011 × 1791

Prime Factorization of 54249

Prime factors of 54249 are 3, 13, 107. Prime factorization of 54249 in exponential form is:

54249 = 31 × 132 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 54237 and 54249.

LCM(54237,54249) = 31 × 1011 × 1791 × 132 × 1071
LCM(54237,54249) = 980767671