What is the Least Common Multiple of 22149 and 22160?

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 22149 and 22160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22149 and 22160, than apply into the LCM equation.

GCF(22149,22160) = 1
LCM(22149,22160) = ( 22149 × 22160) / 1
LCM(22149,22160) = 490821840 / 1
LCM(22149,22160) = 490821840

Least Common Multiple (LCM) of 22149 and 22160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22149 and 22160. First we will calculate the prime factors of 22149 and 22160.

Prime Factorization of 22149

Prime Factorization of 22160

Now multiplying the highest exponent prime factors to calculate the LCM of 22149 and 22160.

LCM(22149,22160) = 3² × 23¹ × 107¹ × 2⁴ × 5¹ × 277¹
LCM(22149,22160) = 490821840