What is the Least Common Multiple of 51060 and 51069?

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 51060 and 51069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51060 and 51069, than apply into the LCM equation.

GCF(51060,51069) = 3
LCM(51060,51069) = ( 51060 × 51069) / 3
LCM(51060,51069) = 2607583140 / 3
LCM(51060,51069) = 869194380

Least Common Multiple (LCM) of 51060 and 51069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51060 and 51069. First we will calculate the prime factors of 51060 and 51069.

Prime Factorization of 51060

Prime Factorization of 51069

Now multiplying the highest exponent prime factors to calculate the LCM of 51060 and 51069.

LCM(51060,51069) = 2² × 3¹ × 5¹ × 23¹ × 37¹ × 29¹ × 587¹
LCM(51060,51069) = 869194380