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What is the Least Common Multiple of 54143 and 54148?

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 54143 and 54148 is 2931735164.

LCM(54143,54148) = 2931735164

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Least Common Multiple of 54143 and 54148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54143 and 54148, than apply into the LCM equation.

GCF(54143,54148) = 1
LCM(54143,54148) = ( 54143 × 54148) / 1
LCM(54143,54148) = 2931735164 / 1
LCM(54143,54148) = 2931735164

Least Common Multiple (LCM) of 54143 and 54148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54143 and 54148. First we will calculate the prime factors of 54143 and 54148.

Prime Factorization of 54143

Prime factors of 54143 are 29, 1867. Prime factorization of 54143 in exponential form is:

54143 = 291 × 18671

Prime Factorization of 54148

Prime factors of 54148 are 2, 13537. Prime factorization of 54148 in exponential form is:

54148 = 22 × 135371

Now multiplying the highest exponent prime factors to calculate the LCM of 54143 and 54148.

LCM(54143,54148) = 291 × 18671 × 22 × 135371
LCM(54143,54148) = 2931735164