What is the Least Common Multiple of 51150 and 51155?

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 51150 and 51155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51150 and 51155, than apply into the LCM equation.

GCF(51150,51155) = 5
LCM(51150,51155) = ( 51150 × 51155) / 5
LCM(51150,51155) = 2616578250 / 5
LCM(51150,51155) = 523315650

Least Common Multiple (LCM) of 51150 and 51155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51150 and 51155. First we will calculate the prime factors of 51150 and 51155.

Prime Factorization of 51150

Prime Factorization of 51155

Now multiplying the highest exponent prime factors to calculate the LCM of 51150 and 51155.

LCM(51150,51155) = 2¹ × 3¹ × 5² × 11¹ × 31¹ × 13¹ × 787¹
LCM(51150,51155) = 523315650