What is the Least Common Multiple of 86850 and 86868?

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 86868 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 86868, than apply into the LCM equation.

GCF(86850,86868) = 18
LCM(86850,86868) = ( 86850 × 86868) / 18
LCM(86850,86868) = 7544485800 / 18
LCM(86850,86868) = 419138100

Least Common Multiple (LCM) of 86850 and 86868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86850 and 86868. First we will calculate the prime factors of 86850 and 86868.

Prime Factorization of 86850

Prime Factorization of 86868

Now multiplying the highest exponent prime factors to calculate the LCM of 86850 and 86868.

LCM(86850,86868) = 2² × 3² × 5² × 193¹ × 19¹ × 127¹
LCM(86850,86868) = 419138100