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What is the Least Common Multiple of 54151 and 54163?

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 54151 and 54163 is 2932980613.

LCM(54151,54163) = 2932980613

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Least Common Multiple of 54151 and 54163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54151 and 54163, than apply into the LCM equation.

GCF(54151,54163) = 1
LCM(54151,54163) = ( 54151 × 54163) / 1
LCM(54151,54163) = 2932980613 / 1
LCM(54151,54163) = 2932980613

Least Common Multiple (LCM) of 54151 and 54163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54151 and 54163. First we will calculate the prime factors of 54151 and 54163.

Prime Factorization of 54151

Prime factors of 54151 are 54151. Prime factorization of 54151 in exponential form is:

54151 = 541511

Prime Factorization of 54163

Prime factors of 54163 are 54163. Prime factorization of 54163 in exponential form is:

54163 = 541631

Now multiplying the highest exponent prime factors to calculate the LCM of 54151 and 54163.

LCM(54151,54163) = 541511 × 541631
LCM(54151,54163) = 2932980613