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What is the Least Common Multiple of 13725 and 13737?

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 13725 and 13737 is 62846775.

LCM(13725,13737) = 62846775

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Least Common Multiple of 13725 and 13737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13725 and 13737, than apply into the LCM equation.

GCF(13725,13737) = 3
LCM(13725,13737) = ( 13725 × 13737) / 3
LCM(13725,13737) = 188540325 / 3
LCM(13725,13737) = 62846775

Least Common Multiple (LCM) of 13725 and 13737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13725 and 13737. First we will calculate the prime factors of 13725 and 13737.

Prime Factorization of 13725

Prime factors of 13725 are 3, 5, 61. Prime factorization of 13725 in exponential form is:

13725 = 32 × 52 × 611

Prime Factorization of 13737

Prime factors of 13737 are 3, 19, 241. Prime factorization of 13737 in exponential form is:

13737 = 31 × 191 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 13725 and 13737.

LCM(13725,13737) = 32 × 52 × 611 × 191 × 2411
LCM(13725,13737) = 62846775