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What is the Least Common Multiple of 54307 and 54318?

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 54307 and 54318 is 268167966.

LCM(54307,54318) = 268167966

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Least Common Multiple of 54307 and 54318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54307 and 54318, than apply into the LCM equation.

GCF(54307,54318) = 11
LCM(54307,54318) = ( 54307 × 54318) / 11
LCM(54307,54318) = 2949847626 / 11
LCM(54307,54318) = 268167966

Least Common Multiple (LCM) of 54307 and 54318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54307 and 54318. First we will calculate the prime factors of 54307 and 54318.

Prime Factorization of 54307

Prime factors of 54307 are 11, 4937. Prime factorization of 54307 in exponential form is:

54307 = 111 × 49371

Prime Factorization of 54318

Prime factors of 54318 are 2, 3, 11, 823. Prime factorization of 54318 in exponential form is:

54318 = 21 × 31 × 111 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 54307 and 54318.

LCM(54307,54318) = 111 × 49371 × 21 × 31 × 8231
LCM(54307,54318) = 268167966