What is the Least Common Multiple of 12465 and 12480?

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 of 12465 and 12480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12465 and 12480, than apply into the LCM equation.

GCF(12465,12480) = 15
LCM(12465,12480) = ( 12465 × 12480) / 15
LCM(12465,12480) = 155563200 / 15
LCM(12465,12480) = 10370880

Least Common Multiple (LCM) of 12465 and 12480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12465 and 12480. First we will calculate the prime factors of 12465 and 12480.

Prime Factorization of 12465

Prime Factorization of 12480

Now multiplying the highest exponent prime factors to calculate the LCM of 12465 and 12480.

LCM(12465,12480) = 3² × 5¹ × 277¹ × 2⁶ × 13¹
LCM(12465,12480) = 10370880