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What is the Least Common Multiple of 27630 and 27635?

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 27630 and 27635 is 152711010.

LCM(27630,27635) = 152711010

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Least Common Multiple of 27630 and 27635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27630 and 27635, than apply into the LCM equation.

GCF(27630,27635) = 5
LCM(27630,27635) = ( 27630 × 27635) / 5
LCM(27630,27635) = 763555050 / 5
LCM(27630,27635) = 152711010

Least Common Multiple (LCM) of 27630 and 27635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27630 and 27635. First we will calculate the prime factors of 27630 and 27635.

Prime Factorization of 27630

Prime factors of 27630 are 2, 3, 5, 307. Prime factorization of 27630 in exponential form is:

27630 = 21 × 32 × 51 × 3071

Prime Factorization of 27635

Prime factors of 27635 are 5, 5527. Prime factorization of 27635 in exponential form is:

27635 = 51 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 27630 and 27635.

LCM(27630,27635) = 21 × 32 × 51 × 3071 × 55271
LCM(27630,27635) = 152711010