What is the Least Common Multiple of 86835 and 86850?

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 86835 and 86850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86835 and 86850, than apply into the LCM equation.

GCF(86835,86850) = 15
LCM(86835,86850) = ( 86835 × 86850) / 15
LCM(86835,86850) = 7541619750 / 15
LCM(86835,86850) = 502774650

Least Common Multiple (LCM) of 86835 and 86850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86835 and 86850. First we will calculate the prime factors of 86835 and 86850.

Prime Factorization of 86835

Prime Factorization of 86850

Now multiplying the highest exponent prime factors to calculate the LCM of 86835 and 86850.

LCM(86835,86850) = 3² × 5² × 7¹ × 827¹ × 2¹ × 193¹
LCM(86835,86850) = 502774650