What is the Least Common Multiple of 93210 and 93222?

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 93210 and 93222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93210 and 93222, than apply into the LCM equation.

GCF(93210,93222) = 6
LCM(93210,93222) = ( 93210 × 93222) / 6
LCM(93210,93222) = 8689222620 / 6
LCM(93210,93222) = 1448203770

Least Common Multiple (LCM) of 93210 and 93222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93210 and 93222. First we will calculate the prime factors of 93210 and 93222.

Prime Factorization of 93210

Prime Factorization of 93222

Now multiplying the highest exponent prime factors to calculate the LCM of 93210 and 93222.

LCM(93210,93222) = 2¹ × 3² × 5¹ × 13¹ × 239¹ × 5179¹
LCM(93210,93222) = 1448203770