What is the Least Common Multiple of 86850 and 86855?

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 86850 and 86855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86850 and 86855, than apply into the LCM equation.

GCF(86850,86855) = 5
LCM(86850,86855) = ( 86850 × 86855) / 5
LCM(86850,86855) = 7543356750 / 5
LCM(86850,86855) = 1508671350

Least Common Multiple (LCM) of 86850 and 86855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86850 and 86855. First we will calculate the prime factors of 86850 and 86855.

Prime Factorization of 86850

Prime Factorization of 86855

Now multiplying the highest exponent prime factors to calculate the LCM of 86850 and 86855.

LCM(86850,86855) = 2¹ × 3² × 5² × 193¹ × 29¹ × 599¹
LCM(86850,86855) = 1508671350