What is the Least Common Multiple of 85182 and 85200?

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 85182 and 85200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85182 and 85200, than apply into the LCM equation.

GCF(85182,85200) = 6
LCM(85182,85200) = ( 85182 × 85200) / 6
LCM(85182,85200) = 7257506400 / 6
LCM(85182,85200) = 1209584400

Least Common Multiple (LCM) of 85182 and 85200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85182 and 85200. First we will calculate the prime factors of 85182 and 85200.

Prime Factorization of 85182

Prime Factorization of 85200

Now multiplying the highest exponent prime factors to calculate the LCM of 85182 and 85200.

LCM(85182,85200) = 2⁴ × 3¹ × 14197¹ × 5² × 71¹
LCM(85182,85200) = 1209584400