What is the Least Common Multiple of 1185 and 1199?

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 1199 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 1199, than apply into the LCM equation.

GCF(1185,1199) = 1
LCM(1185,1199) = ( 1185 × 1199) / 1
LCM(1185,1199) = 1420815 / 1
LCM(1185,1199) = 1420815

Least Common Multiple (LCM) of 1185 and 1199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1185 and 1199. First we will calculate the prime factors of 1185 and 1199.

Prime Factorization of 1185

Prime Factorization of 1199

Now multiplying the highest exponent prime factors to calculate the LCM of 1185 and 1199.

LCM(1185,1199) = 3¹ × 5¹ × 79¹ × 11¹ × 109¹
LCM(1185,1199) = 1420815