What is the Least Common Multiple of 51210 and 51225?

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 51210 and 51225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51210 and 51225, than apply into the LCM equation.

GCF(51210,51225) = 15
LCM(51210,51225) = ( 51210 × 51225) / 15
LCM(51210,51225) = 2623232250 / 15
LCM(51210,51225) = 174882150

Least Common Multiple (LCM) of 51210 and 51225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51210 and 51225. First we will calculate the prime factors of 51210 and 51225.

Prime Factorization of 51210

Prime Factorization of 51225

Now multiplying the highest exponent prime factors to calculate the LCM of 51210 and 51225.

LCM(51210,51225) = 2¹ × 3² × 5² × 569¹ × 683¹
LCM(51210,51225) = 174882150