What is the Least Common Multiple of 54210 and 54225?

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 54210 and 54225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54210 and 54225, than apply into the LCM equation.

GCF(54210,54225) = 15
LCM(54210,54225) = ( 54210 × 54225) / 15
LCM(54210,54225) = 2939537250 / 15
LCM(54210,54225) = 195969150

Least Common Multiple (LCM) of 54210 and 54225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54210 and 54225. First we will calculate the prime factors of 54210 and 54225.

Prime Factorization of 54210

Prime Factorization of 54225

Now multiplying the highest exponent prime factors to calculate the LCM of 54210 and 54225.

LCM(54210,54225) = 2¹ × 3² × 5² × 13¹ × 139¹ × 241¹
LCM(54210,54225) = 195969150