What is the Least Common Multiple of 22141 and 22145?

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 22141 and 22145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22141 and 22145, than apply into the LCM equation.

GCF(22141,22145) = 1
LCM(22141,22145) = ( 22141 × 22145) / 1
LCM(22141,22145) = 490312445 / 1
LCM(22141,22145) = 490312445

Least Common Multiple (LCM) of 22141 and 22145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22141 and 22145. First we will calculate the prime factors of 22141 and 22145.

Prime Factorization of 22141

Prime Factorization of 22145

Now multiplying the highest exponent prime factors to calculate the LCM of 22141 and 22145.

LCM(22141,22145) = 7¹ × 3163¹ × 5¹ × 43¹ × 103¹
LCM(22141,22145) = 490312445