What is the Least Common Multiple of 54195 and 54210?

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 54195 and 54210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54195 and 54210, than apply into the LCM equation.

GCF(54195,54210) = 15
LCM(54195,54210) = ( 54195 × 54210) / 15
LCM(54195,54210) = 2937910950 / 15
LCM(54195,54210) = 195860730

Least Common Multiple (LCM) of 54195 and 54210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54195 and 54210. First we will calculate the prime factors of 54195 and 54210.

Prime Factorization of 54195

Prime Factorization of 54210

Now multiplying the highest exponent prime factors to calculate the LCM of 54195 and 54210.

LCM(54195,54210) = 3¹ × 5¹ × 3613¹ × 2¹ × 13¹ × 139¹
LCM(54195,54210) = 195860730