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What is the Least Common Multiple of 27378 and 27393?

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 27378 and 27393 is 249988518.

LCM(27378,27393) = 249988518

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Least Common Multiple of 27378 and 27393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27378 and 27393, than apply into the LCM equation.

GCF(27378,27393) = 3
LCM(27378,27393) = ( 27378 × 27393) / 3
LCM(27378,27393) = 749965554 / 3
LCM(27378,27393) = 249988518

Least Common Multiple (LCM) of 27378 and 27393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27378 and 27393. First we will calculate the prime factors of 27378 and 27393.

Prime Factorization of 27378

Prime factors of 27378 are 2, 3, 13. Prime factorization of 27378 in exponential form is:

27378 = 21 × 34 × 132

Prime Factorization of 27393

Prime factors of 27393 are 3, 23, 397. Prime factorization of 27393 in exponential form is:

27393 = 31 × 231 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 27378 and 27393.

LCM(27378,27393) = 21 × 34 × 132 × 231 × 3971
LCM(27378,27393) = 249988518