What is the Least Common Multiple of 55460 and 55478?

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 55460 and 55478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55460 and 55478, than apply into the LCM equation.

GCF(55460,55478) = 2
LCM(55460,55478) = ( 55460 × 55478) / 2
LCM(55460,55478) = 3076809880 / 2
LCM(55460,55478) = 1538404940

Least Common Multiple (LCM) of 55460 and 55478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55460 and 55478. First we will calculate the prime factors of 55460 and 55478.

Prime Factorization of 55460

Prime Factorization of 55478

Now multiplying the highest exponent prime factors to calculate the LCM of 55460 and 55478.

LCM(55460,55478) = 2² × 5¹ × 47¹ × 59¹ × 27739¹
LCM(55460,55478) = 1538404940