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What is the Least Common Multiple of 27330 and 27335?

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 27330 and 27335 is 149413110.

LCM(27330,27335) = 149413110

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Least Common Multiple of 27330 and 27335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27330 and 27335, than apply into the LCM equation.

GCF(27330,27335) = 5
LCM(27330,27335) = ( 27330 × 27335) / 5
LCM(27330,27335) = 747065550 / 5
LCM(27330,27335) = 149413110

Least Common Multiple (LCM) of 27330 and 27335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27330 and 27335. First we will calculate the prime factors of 27330 and 27335.

Prime Factorization of 27330

Prime factors of 27330 are 2, 3, 5, 911. Prime factorization of 27330 in exponential form is:

27330 = 21 × 31 × 51 × 9111

Prime Factorization of 27335

Prime factors of 27335 are 5, 7, 11, 71. Prime factorization of 27335 in exponential form is:

27335 = 51 × 71 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 27330 and 27335.

LCM(27330,27335) = 21 × 31 × 51 × 9111 × 71 × 111 × 711
LCM(27330,27335) = 149413110