What is the Least Common Multiple of 59205 and 59220?

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 59205 and 59220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59205 and 59220, than apply into the LCM equation.

GCF(59205,59220) = 15
LCM(59205,59220) = ( 59205 × 59220) / 15
LCM(59205,59220) = 3506120100 / 15
LCM(59205,59220) = 233741340

Least Common Multiple (LCM) of 59205 and 59220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59205 and 59220. First we will calculate the prime factors of 59205 and 59220.

Prime Factorization of 59205

Prime Factorization of 59220

Now multiplying the highest exponent prime factors to calculate the LCM of 59205 and 59220.

LCM(59205,59220) = 3² × 5¹ × 3947¹ × 2² × 7¹ × 47¹
LCM(59205,59220) = 233741340