What is the Least Common Multiple of 1160 and 1172?

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 1172 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 1172, than apply into the LCM equation.

GCF(1160,1172) = 4
LCM(1160,1172) = ( 1160 × 1172) / 4
LCM(1160,1172) = 1359520 / 4
LCM(1160,1172) = 339880

Least Common Multiple (LCM) of 1160 and 1172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1160 and 1172. First we will calculate the prime factors of 1160 and 1172.

Prime Factorization of 1160

Prime Factorization of 1172

Now multiplying the highest exponent prime factors to calculate the LCM of 1160 and 1172.

LCM(1160,1172) = 2³ × 5¹ × 29¹ × 293¹
LCM(1160,1172) = 339880