What is the Least Common Multiple of 22446 and 22458?

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 22446 and 22458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22446 and 22458, than apply into the LCM equation.

GCF(22446,22458) = 6
LCM(22446,22458) = ( 22446 × 22458) / 6
LCM(22446,22458) = 504092268 / 6
LCM(22446,22458) = 84015378

Least Common Multiple (LCM) of 22446 and 22458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22446 and 22458. First we will calculate the prime factors of 22446 and 22458.

Prime Factorization of 22446

Prime Factorization of 22458

Now multiplying the highest exponent prime factors to calculate the LCM of 22446 and 22458.

LCM(22446,22458) = 2¹ × 3² × 29¹ × 43¹ × 19¹ × 197¹
LCM(22446,22458) = 84015378