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What is the Least Common Multiple of 54167 and 54177?

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 54167 and 54177 is 2934605559.

LCM(54167,54177) = 2934605559

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Least Common Multiple of 54167 and 54177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54167 and 54177, than apply into the LCM equation.

GCF(54167,54177) = 1
LCM(54167,54177) = ( 54167 × 54177) / 1
LCM(54167,54177) = 2934605559 / 1
LCM(54167,54177) = 2934605559

Least Common Multiple (LCM) of 54167 and 54177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54167 and 54177. First we will calculate the prime factors of 54167 and 54177.

Prime Factorization of 54167

Prime factors of 54167 are 54167. Prime factorization of 54167 in exponential form is:

54167 = 541671

Prime Factorization of 54177

Prime factors of 54177 are 3, 18059. Prime factorization of 54177 in exponential form is:

54177 = 31 × 180591

Now multiplying the highest exponent prime factors to calculate the LCM of 54167 and 54177.

LCM(54167,54177) = 541671 × 31 × 180591
LCM(54167,54177) = 2934605559