What is the Least Common Multiple of 59220 and 59238?

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 59220 and 59238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59220 and 59238, than apply into the LCM equation.

GCF(59220,59238) = 18
LCM(59220,59238) = ( 59220 × 59238) / 18
LCM(59220,59238) = 3508074360 / 18
LCM(59220,59238) = 194893020

Least Common Multiple (LCM) of 59220 and 59238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59220 and 59238. First we will calculate the prime factors of 59220 and 59238.

Prime Factorization of 59220

Prime Factorization of 59238

Now multiplying the highest exponent prime factors to calculate the LCM of 59220 and 59238.

LCM(59220,59238) = 2² × 3³ × 5¹ × 7¹ × 47¹ × 1097¹
LCM(59220,59238) = 194893020