What is the Least Common Multiple of 76205 and 76220?

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 76205 and 76220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76205 and 76220, than apply into the LCM equation.

GCF(76205,76220) = 5
LCM(76205,76220) = ( 76205 × 76220) / 5
LCM(76205,76220) = 5808345100 / 5
LCM(76205,76220) = 1161669020

Least Common Multiple (LCM) of 76205 and 76220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76205 and 76220. First we will calculate the prime factors of 76205 and 76220.

Prime Factorization of 76205

Prime Factorization of 76220

Now multiplying the highest exponent prime factors to calculate the LCM of 76205 and 76220.

LCM(76205,76220) = 5¹ × 15241¹ × 2² × 37¹ × 103¹
LCM(76205,76220) = 1161669020