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What is the Least Common Multiple of 54258 and 54277?

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 54258 and 54277 is 2944961466.

LCM(54258,54277) = 2944961466

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Least Common Multiple of 54258 and 54277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54258 and 54277, than apply into the LCM equation.

GCF(54258,54277) = 1
LCM(54258,54277) = ( 54258 × 54277) / 1
LCM(54258,54277) = 2944961466 / 1
LCM(54258,54277) = 2944961466

Least Common Multiple (LCM) of 54258 and 54277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54258 and 54277. First we will calculate the prime factors of 54258 and 54277.

Prime Factorization of 54258

Prime factors of 54258 are 2, 3, 9043. Prime factorization of 54258 in exponential form is:

54258 = 21 × 31 × 90431

Prime Factorization of 54277

Prime factors of 54277 are 54277. Prime factorization of 54277 in exponential form is:

54277 = 542771

Now multiplying the highest exponent prime factors to calculate the LCM of 54258 and 54277.

LCM(54258,54277) = 21 × 31 × 90431 × 542771
LCM(54258,54277) = 2944961466