What is the Least Common Multiple of 51915 and 51930?

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 51915 and 51930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51915 and 51930, than apply into the LCM equation.

GCF(51915,51930) = 15
LCM(51915,51930) = ( 51915 × 51930) / 15
LCM(51915,51930) = 2695945950 / 15
LCM(51915,51930) = 179729730

Least Common Multiple (LCM) of 51915 and 51930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51915 and 51930. First we will calculate the prime factors of 51915 and 51930.

Prime Factorization of 51915

Prime Factorization of 51930

Now multiplying the highest exponent prime factors to calculate the LCM of 51915 and 51930.

LCM(51915,51930) = 3² × 5¹ × 3461¹ × 2¹ × 577¹
LCM(51915,51930) = 179729730