What is the Least Common Multiple of 1150 and 1169?

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 1150 and 1169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1150 and 1169, than apply into the LCM equation.

GCF(1150,1169) = 1
LCM(1150,1169) = ( 1150 × 1169) / 1
LCM(1150,1169) = 1344350 / 1
LCM(1150,1169) = 1344350

Least Common Multiple (LCM) of 1150 and 1169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1150 and 1169. First we will calculate the prime factors of 1150 and 1169.

Prime Factorization of 1150

Prime Factorization of 1169

Now multiplying the highest exponent prime factors to calculate the LCM of 1150 and 1169.

LCM(1150,1169) = 2¹ × 5² × 23¹ × 7¹ × 167¹
LCM(1150,1169) = 1344350