What is the Least Common Multiple of 1170 and 1185?

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 1170 and 1185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1170 and 1185, than apply into the LCM equation.

GCF(1170,1185) = 15
LCM(1170,1185) = ( 1170 × 1185) / 15
LCM(1170,1185) = 1386450 / 15
LCM(1170,1185) = 92430

Least Common Multiple (LCM) of 1170 and 1185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1170 and 1185. First we will calculate the prime factors of 1170 and 1185.

Prime Factorization of 1170

Prime Factorization of 1185

Now multiplying the highest exponent prime factors to calculate the LCM of 1170 and 1185.

LCM(1170,1185) = 2¹ × 3² × 5¹ × 13¹ × 79¹
LCM(1170,1185) = 92430