What is the Least Common Multiple of 51210 and 51215?

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 51215 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 51215, than apply into the LCM equation.

GCF(51210,51215) = 5
LCM(51210,51215) = ( 51210 × 51215) / 5
LCM(51210,51215) = 2622720150 / 5
LCM(51210,51215) = 524544030

Least Common Multiple (LCM) of 51210 and 51215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51210 and 51215. First we will calculate the prime factors of 51210 and 51215.

Prime Factorization of 51210

Prime Factorization of 51215

Now multiplying the highest exponent prime factors to calculate the LCM of 51210 and 51215.

LCM(51210,51215) = 2¹ × 3² × 5¹ × 569¹ × 10243¹
LCM(51210,51215) = 524544030