What is the Least Common Multiple of 22445 and 22462?

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 22445 and 22462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22445 and 22462, than apply into the LCM equation.

GCF(22445,22462) = 1
LCM(22445,22462) = ( 22445 × 22462) / 1
LCM(22445,22462) = 504159590 / 1
LCM(22445,22462) = 504159590

Least Common Multiple (LCM) of 22445 and 22462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22445 and 22462. First we will calculate the prime factors of 22445 and 22462.

Prime Factorization of 22445

Prime Factorization of 22462

Now multiplying the highest exponent prime factors to calculate the LCM of 22445 and 22462.

LCM(22445,22462) = 5¹ × 67² × 2¹ × 11¹ × 1021¹
LCM(22445,22462) = 504159590