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What is the Least Common Multiple of 54666 and 54678?

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 54666 and 54678 is 498171258.

LCM(54666,54678) = 498171258

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Least Common Multiple of 54666 and 54678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54666 and 54678, than apply into the LCM equation.

GCF(54666,54678) = 6
LCM(54666,54678) = ( 54666 × 54678) / 6
LCM(54666,54678) = 2989027548 / 6
LCM(54666,54678) = 498171258

Least Common Multiple (LCM) of 54666 and 54678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54666 and 54678. First we will calculate the prime factors of 54666 and 54678.

Prime Factorization of 54666

Prime factors of 54666 are 2, 3, 3037. Prime factorization of 54666 in exponential form is:

54666 = 21 × 32 × 30371

Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 21 × 31 × 131 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 54666 and 54678.

LCM(54666,54678) = 21 × 32 × 30371 × 131 × 7011
LCM(54666,54678) = 498171258