What is the Least Common Multiple of 51069 and 51075?

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 51069 and 51075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51069 and 51075, than apply into the LCM equation.

GCF(51069,51075) = 3
LCM(51069,51075) = ( 51069 × 51075) / 3
LCM(51069,51075) = 2608349175 / 3
LCM(51069,51075) = 869449725

Least Common Multiple (LCM) of 51069 and 51075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51069 and 51075. First we will calculate the prime factors of 51069 and 51075.

Prime Factorization of 51069

Prime Factorization of 51075

Now multiplying the highest exponent prime factors to calculate the LCM of 51069 and 51075.

LCM(51069,51075) = 3² × 29¹ × 587¹ × 5² × 227¹
LCM(51069,51075) = 869449725