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What is the Least Common Multiple of 12460 and 12465?

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 12460 and 12465 is 31062780.

LCM(12460,12465) = 31062780

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Least Common Multiple of 12460 and 12465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12460 and 12465, than apply into the LCM equation.

GCF(12460,12465) = 5
LCM(12460,12465) = ( 12460 × 12465) / 5
LCM(12460,12465) = 155313900 / 5
LCM(12460,12465) = 31062780

Least Common Multiple (LCM) of 12460 and 12465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12460 and 12465. First we will calculate the prime factors of 12460 and 12465.

Prime Factorization of 12460

Prime factors of 12460 are 2, 5, 7, 89. Prime factorization of 12460 in exponential form is:

12460 = 22 × 51 × 71 × 891

Prime Factorization of 12465

Prime factors of 12465 are 3, 5, 277. Prime factorization of 12465 in exponential form is:

12465 = 32 × 51 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 12460 and 12465.

LCM(12460,12465) = 22 × 51 × 71 × 891 × 32 × 2771
LCM(12460,12465) = 31062780