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What is the Least Common Multiple of 54117 and 54131?

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 54117 and 54131 is 418486761.

LCM(54117,54131) = 418486761

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Least Common Multiple of 54117 and 54131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54117 and 54131, than apply into the LCM equation.

GCF(54117,54131) = 7
LCM(54117,54131) = ( 54117 × 54131) / 7
LCM(54117,54131) = 2929407327 / 7
LCM(54117,54131) = 418486761

Least Common Multiple (LCM) of 54117 and 54131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54117 and 54131. First we will calculate the prime factors of 54117 and 54131.

Prime Factorization of 54117

Prime factors of 54117 are 3, 7, 859. Prime factorization of 54117 in exponential form is:

54117 = 32 × 71 × 8591

Prime Factorization of 54131

Prime factors of 54131 are 7, 11, 19, 37. Prime factorization of 54131 in exponential form is:

54131 = 71 × 111 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 54117 and 54131.

LCM(54117,54131) = 32 × 71 × 8591 × 111 × 191 × 371
LCM(54117,54131) = 418486761