What is the Least Common Multiple of 86230 and 86250?

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 86230 and 86250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86230 and 86250, than apply into the LCM equation.

GCF(86230,86250) = 10
LCM(86230,86250) = ( 86230 × 86250) / 10
LCM(86230,86250) = 7437337500 / 10
LCM(86230,86250) = 743733750

Least Common Multiple (LCM) of 86230 and 86250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86230 and 86250. First we will calculate the prime factors of 86230 and 86250.

Prime Factorization of 86230

Prime Factorization of 86250

Now multiplying the highest exponent prime factors to calculate the LCM of 86230 and 86250.

LCM(86230,86250) = 2¹ × 5⁴ × 8623¹ × 3¹ × 23¹
LCM(86230,86250) = 743733750