What is the Least Common Multiple of 51045 and 51060?

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 51045 and 51060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51045 and 51060, than apply into the LCM equation.

GCF(51045,51060) = 15
LCM(51045,51060) = ( 51045 × 51060) / 15
LCM(51045,51060) = 2606357700 / 15
LCM(51045,51060) = 173757180

Least Common Multiple (LCM) of 51045 and 51060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51045 and 51060. First we will calculate the prime factors of 51045 and 51060.

Prime Factorization of 51045

Prime Factorization of 51060

Now multiplying the highest exponent prime factors to calculate the LCM of 51045 and 51060.

LCM(51045,51060) = 3¹ × 5¹ × 41¹ × 83¹ × 2² × 23¹ × 37¹
LCM(51045,51060) = 173757180