What is the Least Common Multiple of 9192 and 9200?

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 9192 and 9200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9192 and 9200, than apply into the LCM equation.

GCF(9192,9200) = 8
LCM(9192,9200) = ( 9192 × 9200) / 8
LCM(9192,9200) = 84566400 / 8
LCM(9192,9200) = 10570800

Least Common Multiple (LCM) of 9192 and 9200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9192 and 9200. First we will calculate the prime factors of 9192 and 9200.

Prime Factorization of 9192

Prime Factorization of 9200

Now multiplying the highest exponent prime factors to calculate the LCM of 9192 and 9200.

LCM(9192,9200) = 2⁴ × 3¹ × 383¹ × 5² × 23¹
LCM(9192,9200) = 10570800