What is the Least Common Multiple of 55360 and 55380?

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 55360 and 55380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55360 and 55380, than apply into the LCM equation.

GCF(55360,55380) = 20
LCM(55360,55380) = ( 55360 × 55380) / 20
LCM(55360,55380) = 3065836800 / 20
LCM(55360,55380) = 153291840

Least Common Multiple (LCM) of 55360 and 55380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55360 and 55380. First we will calculate the prime factors of 55360 and 55380.

Prime Factorization of 55360

Prime Factorization of 55380

Now multiplying the highest exponent prime factors to calculate the LCM of 55360 and 55380.

LCM(55360,55380) = 2⁶ × 5¹ × 173¹ × 3¹ × 13¹ × 71¹
LCM(55360,55380) = 153291840