What is the Least Common Multiple of 86190 and 86200?

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 86190 and 86200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86190 and 86200, than apply into the LCM equation.

GCF(86190,86200) = 10
LCM(86190,86200) = ( 86190 × 86200) / 10
LCM(86190,86200) = 7429578000 / 10
LCM(86190,86200) = 742957800

Least Common Multiple (LCM) of 86190 and 86200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86190 and 86200. First we will calculate the prime factors of 86190 and 86200.

Prime Factorization of 86190

Prime Factorization of 86200

Now multiplying the highest exponent prime factors to calculate the LCM of 86190 and 86200.

LCM(86190,86200) = 2³ × 3¹ × 5² × 13² × 17¹ × 431¹
LCM(86190,86200) = 742957800