What is the Least Common Multiple of 81192 and 81200?

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 81192 and 81200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81192 and 81200, than apply into the LCM equation.

GCF(81192,81200) = 8
LCM(81192,81200) = ( 81192 × 81200) / 8
LCM(81192,81200) = 6592790400 / 8
LCM(81192,81200) = 824098800

Least Common Multiple (LCM) of 81192 and 81200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81192 and 81200. First we will calculate the prime factors of 81192 and 81200.

Prime Factorization of 81192

Prime Factorization of 81200

Now multiplying the highest exponent prime factors to calculate the LCM of 81192 and 81200.

LCM(81192,81200) = 2⁴ × 3¹ × 17¹ × 199¹ × 5² × 7¹ × 29¹
LCM(81192,81200) = 824098800