What is the Least Common Multiple of 55440 and 55460?

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 55440 and 55460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55440 and 55460, than apply into the LCM equation.

GCF(55440,55460) = 20
LCM(55440,55460) = ( 55440 × 55460) / 20
LCM(55440,55460) = 3074702400 / 20
LCM(55440,55460) = 153735120

Least Common Multiple (LCM) of 55440 and 55460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55440 and 55460. First we will calculate the prime factors of 55440 and 55460.

Prime Factorization of 55440

Prime Factorization of 55460

Now multiplying the highest exponent prime factors to calculate the LCM of 55440 and 55460.

LCM(55440,55460) = 2⁴ × 3² × 5¹ × 7¹ × 11¹ × 47¹ × 59¹
LCM(55440,55460) = 153735120