What is the Least Common Multiple of 86209 and 86220?

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 86209 and 86220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86209 and 86220, than apply into the LCM equation.

GCF(86209,86220) = 1
LCM(86209,86220) = ( 86209 × 86220) / 1
LCM(86209,86220) = 7432939980 / 1
LCM(86209,86220) = 7432939980

Least Common Multiple (LCM) of 86209 and 86220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86209 and 86220. First we will calculate the prime factors of 86209 and 86220.

Prime Factorization of 86209

Prime Factorization of 86220

Now multiplying the highest exponent prime factors to calculate the LCM of 86209 and 86220.

LCM(86209,86220) = 86209¹ × 2² × 3² × 5¹ × 479¹
LCM(86209,86220) = 7432939980