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What is the Least Common Multiple of 13495 and 13510?

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 13495 and 13510 is 36463490.

LCM(13495,13510) = 36463490

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Least Common Multiple of 13495 and 13510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13495 and 13510, than apply into the LCM equation.

GCF(13495,13510) = 5
LCM(13495,13510) = ( 13495 × 13510) / 5
LCM(13495,13510) = 182317450 / 5
LCM(13495,13510) = 36463490

Least Common Multiple (LCM) of 13495 and 13510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13495 and 13510. First we will calculate the prime factors of 13495 and 13510.

Prime Factorization of 13495

Prime factors of 13495 are 5, 2699. Prime factorization of 13495 in exponential form is:

13495 = 51 × 26991

Prime Factorization of 13510

Prime factors of 13510 are 2, 5, 7, 193. Prime factorization of 13510 in exponential form is:

13510 = 21 × 51 × 71 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 13495 and 13510.

LCM(13495,13510) = 51 × 26991 × 21 × 71 × 1931
LCM(13495,13510) = 36463490