What is the Least Common Multiple of 53460 and 53478?

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 53460 and 53478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53460 and 53478, than apply into the LCM equation.

GCF(53460,53478) = 18
LCM(53460,53478) = ( 53460 × 53478) / 18
LCM(53460,53478) = 2858933880 / 18
LCM(53460,53478) = 158829660

Least Common Multiple (LCM) of 53460 and 53478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53460 and 53478. First we will calculate the prime factors of 53460 and 53478.

Prime Factorization of 53460

Prime Factorization of 53478

Now multiplying the highest exponent prime factors to calculate the LCM of 53460 and 53478.

LCM(53460,53478) = 2² × 3⁵ × 5¹ × 11¹ × 2971¹
LCM(53460,53478) = 158829660