What is the Least Common Multiple of 22140 and 22151?

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 22140 and 22151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22140 and 22151, than apply into the LCM equation.

GCF(22140,22151) = 1
LCM(22140,22151) = ( 22140 × 22151) / 1
LCM(22140,22151) = 490423140 / 1
LCM(22140,22151) = 490423140

Least Common Multiple (LCM) of 22140 and 22151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22140 and 22151. First we will calculate the prime factors of 22140 and 22151.

Prime Factorization of 22140

Prime Factorization of 22151

Now multiplying the highest exponent prime factors to calculate the LCM of 22140 and 22151.

LCM(22140,22151) = 2² × 3³ × 5¹ × 41¹ × 17¹ × 1303¹
LCM(22140,22151) = 490423140