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What is the Least Common Multiple of 54485 and 54493?

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 54485 and 54493 is 2969051105.

LCM(54485,54493) = 2969051105

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Least Common Multiple of 54485 and 54493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54485 and 54493, than apply into the LCM equation.

GCF(54485,54493) = 1
LCM(54485,54493) = ( 54485 × 54493) / 1
LCM(54485,54493) = 2969051105 / 1
LCM(54485,54493) = 2969051105

Least Common Multiple (LCM) of 54485 and 54493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54485 and 54493. First we will calculate the prime factors of 54485 and 54493.

Prime Factorization of 54485

Prime factors of 54485 are 5, 17, 641. Prime factorization of 54485 in exponential form is:

54485 = 51 × 171 × 6411

Prime Factorization of 54493

Prime factors of 54493 are 54493. Prime factorization of 54493 in exponential form is:

54493 = 544931

Now multiplying the highest exponent prime factors to calculate the LCM of 54485 and 54493.

LCM(54485,54493) = 51 × 171 × 6411 × 544931
LCM(54485,54493) = 2969051105