What is the Least Common Multiple of 1190 and 1194?

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 1190 and 1194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1190 and 1194, than apply into the LCM equation.

GCF(1190,1194) = 2
LCM(1190,1194) = ( 1190 × 1194) / 2
LCM(1190,1194) = 1420860 / 2
LCM(1190,1194) = 710430

Least Common Multiple (LCM) of 1190 and 1194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1190 and 1194. First we will calculate the prime factors of 1190 and 1194.

Prime Factorization of 1190

Prime Factorization of 1194

Now multiplying the highest exponent prime factors to calculate the LCM of 1190 and 1194.

LCM(1190,1194) = 2¹ × 5¹ × 7¹ × 17¹ × 3¹ × 199¹
LCM(1190,1194) = 710430