What is the Least Common Multiple of 1160 and 1177?

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 1160 and 1177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1160 and 1177, than apply into the LCM equation.

GCF(1160,1177) = 1
LCM(1160,1177) = ( 1160 × 1177) / 1
LCM(1160,1177) = 1365320 / 1
LCM(1160,1177) = 1365320

Least Common Multiple (LCM) of 1160 and 1177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1177. First we will calculate the prime factors of 1160 and 1177.

Prime Factorization of 1160

Prime Factorization of 1177

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1177.

LCM(1160,1177) = 2³ × 5¹ × 29¹ × 11¹ × 107¹
LCM(1160,1177) = 1365320