What is the Least Common Multiple of 51465 and 51480?

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 51465 and 51480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51465 and 51480, than apply into the LCM equation.

GCF(51465,51480) = 15
LCM(51465,51480) = ( 51465 × 51480) / 15
LCM(51465,51480) = 2649418200 / 15
LCM(51465,51480) = 176627880

Least Common Multiple (LCM) of 51465 and 51480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51465 and 51480. First we will calculate the prime factors of 51465 and 51480.

Prime Factorization of 51465

Prime Factorization of 51480

Now multiplying the highest exponent prime factors to calculate the LCM of 51465 and 51480.

LCM(51465,51480) = 3² × 5¹ × 47¹ × 73¹ × 2³ × 11¹ × 13¹
LCM(51465,51480) = 176627880