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What is the Least Common Multiple of 27404 and 27410?

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 27404 and 27410 is 375571820.

LCM(27404,27410) = 375571820

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Least Common Multiple of 27404 and 27410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27404 and 27410, than apply into the LCM equation.

GCF(27404,27410) = 2
LCM(27404,27410) = ( 27404 × 27410) / 2
LCM(27404,27410) = 751143640 / 2
LCM(27404,27410) = 375571820

Least Common Multiple (LCM) of 27404 and 27410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27404 and 27410. First we will calculate the prime factors of 27404 and 27410.

Prime Factorization of 27404

Prime factors of 27404 are 2, 13, 17, 31. Prime factorization of 27404 in exponential form is:

27404 = 22 × 131 × 171 × 311

Prime Factorization of 27410

Prime factors of 27410 are 2, 5, 2741. Prime factorization of 27410 in exponential form is:

27410 = 21 × 51 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 27404 and 27410.

LCM(27404,27410) = 22 × 131 × 171 × 311 × 51 × 27411
LCM(27404,27410) = 375571820