What is the Least Common Multiple of 1140 and 1151?

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 1140 and 1151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1140 and 1151, than apply into the LCM equation.

GCF(1140,1151) = 1
LCM(1140,1151) = ( 1140 × 1151) / 1
LCM(1140,1151) = 1312140 / 1
LCM(1140,1151) = 1312140

Least Common Multiple (LCM) of 1140 and 1151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1140 and 1151. First we will calculate the prime factors of 1140 and 1151.

Prime Factorization of 1140

Prime Factorization of 1151

Now multiplying the highest exponent prime factors to calculate the LCM of 1140 and 1151.

LCM(1140,1151) = 2² × 3¹ × 5¹ × 19¹ × 1151¹
LCM(1140,1151) = 1312140