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What is the Least Common Multiple of 54258 and 54264?

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 54264 is 490709352.

LCM(54258,54264) = 490709352

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Least Common Multiple of 54258 and 54264 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 54264, than apply into the LCM equation.

GCF(54258,54264) = 6
LCM(54258,54264) = ( 54258 × 54264) / 6
LCM(54258,54264) = 2944256112 / 6
LCM(54258,54264) = 490709352

Least Common Multiple (LCM) of 54258 and 54264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54258 and 54264. First we will calculate the prime factors of 54258 and 54264.

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 54264

Prime factors of 54264 are 2, 3, 7, 17, 19. Prime factorization of 54264 in exponential form is:

54264 = 23 × 31 × 71 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 54258 and 54264.

LCM(54258,54264) = 23 × 31 × 90431 × 71 × 171 × 191
LCM(54258,54264) = 490709352