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What is the Least Common Multiple of 54367 and 54377?

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 54367 and 54377 is 2956314359.

LCM(54367,54377) = 2956314359

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Least Common Multiple of 54367 and 54377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54367 and 54377, than apply into the LCM equation.

GCF(54367,54377) = 1
LCM(54367,54377) = ( 54367 × 54377) / 1
LCM(54367,54377) = 2956314359 / 1
LCM(54367,54377) = 2956314359

Least Common Multiple (LCM) of 54367 and 54377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54367 and 54377. First we will calculate the prime factors of 54367 and 54377.

Prime Factorization of 54367

Prime factors of 54367 are 54367. Prime factorization of 54367 in exponential form is:

54367 = 543671

Prime Factorization of 54377

Prime factors of 54377 are 54377. Prime factorization of 54377 in exponential form is:

54377 = 543771

Now multiplying the highest exponent prime factors to calculate the LCM of 54367 and 54377.

LCM(54367,54377) = 543671 × 543771
LCM(54367,54377) = 2956314359