What is the Least Common Multiple of 93204 and 93220?

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 93204 and 93220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93204 and 93220, than apply into the LCM equation.

GCF(93204,93220) = 4
LCM(93204,93220) = ( 93204 × 93220) / 4
LCM(93204,93220) = 8688476880 / 4
LCM(93204,93220) = 2172119220

Least Common Multiple (LCM) of 93204 and 93220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93204 and 93220. First we will calculate the prime factors of 93204 and 93220.

Prime Factorization of 93204

Prime Factorization of 93220

Now multiplying the highest exponent prime factors to calculate the LCM of 93204 and 93220.

LCM(93204,93220) = 2² × 3³ × 863¹ × 5¹ × 59¹ × 79¹
LCM(93204,93220) = 2172119220