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What is the Least Common Multiple of 54613 and 54617?

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 54613 and 54617 is 2982798221.

LCM(54613,54617) = 2982798221

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Least Common Multiple of 54613 and 54617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54613 and 54617, than apply into the LCM equation.

GCF(54613,54617) = 1
LCM(54613,54617) = ( 54613 × 54617) / 1
LCM(54613,54617) = 2982798221 / 1
LCM(54613,54617) = 2982798221

Least Common Multiple (LCM) of 54613 and 54617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54613 and 54617. First we will calculate the prime factors of 54613 and 54617.

Prime Factorization of 54613

Prime factors of 54613 are 13, 4201. Prime factorization of 54613 in exponential form is:

54613 = 131 × 42011

Prime Factorization of 54617

Prime factors of 54617 are 54617. Prime factorization of 54617 in exponential form is:

54617 = 546171

Now multiplying the highest exponent prime factors to calculate the LCM of 54613 and 54617.

LCM(54613,54617) = 131 × 42011 × 546171
LCM(54613,54617) = 2982798221