What is the Least Common Multiple of 86250 and 86270?

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 86250 and 86270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86250 and 86270, than apply into the LCM equation.

GCF(86250,86270) = 10
LCM(86250,86270) = ( 86250 × 86270) / 10
LCM(86250,86270) = 7440787500 / 10
LCM(86250,86270) = 744078750

Least Common Multiple (LCM) of 86250 and 86270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86250 and 86270. First we will calculate the prime factors of 86250 and 86270.

Prime Factorization of 86250

Prime Factorization of 86270

Now multiplying the highest exponent prime factors to calculate the LCM of 86250 and 86270.

LCM(86250,86270) = 2¹ × 3¹ × 5⁴ × 23¹ × 8627¹
LCM(86250,86270) = 744078750