What is the Least Common Multiple of 1185 and 1192?

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 1185 and 1192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1185 and 1192, than apply into the LCM equation.

GCF(1185,1192) = 1
LCM(1185,1192) = ( 1185 × 1192) / 1
LCM(1185,1192) = 1412520 / 1
LCM(1185,1192) = 1412520

Least Common Multiple (LCM) of 1185 and 1192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1185 and 1192. First we will calculate the prime factors of 1185 and 1192.

Prime Factorization of 1185

Prime Factorization of 1192

Now multiplying the highest exponent prime factors to calculate the LCM of 1185 and 1192.

LCM(1185,1192) = 3¹ × 5¹ × 79¹ × 2³ × 149¹
LCM(1185,1192) = 1412520