What is the Least Common Multiple of 54210 and 54222?

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 54222 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 54222, than apply into the LCM equation.

GCF(54210,54222) = 6
LCM(54210,54222) = ( 54210 × 54222) / 6
LCM(54210,54222) = 2939374620 / 6
LCM(54210,54222) = 489895770

Least Common Multiple (LCM) of 54210 and 54222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54210 and 54222. First we will calculate the prime factors of 54210 and 54222.

Prime Factorization of 54210

Prime Factorization of 54222

Now multiplying the highest exponent prime factors to calculate the LCM of 54210 and 54222.

LCM(54210,54222) = 2¹ × 3¹ × 5¹ × 13¹ × 139¹ × 7¹ × 1291¹
LCM(54210,54222) = 489895770