What is the Least Common Multiple of 86209 and 86228?

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 86228 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 86228, than apply into the LCM equation.

GCF(86209,86228) = 1
LCM(86209,86228) = ( 86209 × 86228) / 1
LCM(86209,86228) = 7433629652 / 1
LCM(86209,86228) = 7433629652

Least Common Multiple (LCM) of 86209 and 86228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86209 and 86228. First we will calculate the prime factors of 86209 and 86228.

Prime Factorization of 86209

Prime Factorization of 86228

Now multiplying the highest exponent prime factors to calculate the LCM of 86209 and 86228.

LCM(86209,86228) = 86209¹ × 2² × 21557¹
LCM(86209,86228) = 7433629652