What is the Least Common Multiple of 22458 and 22471?

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 22458 and 22471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22458 and 22471, than apply into the LCM equation.

GCF(22458,22471) = 1
LCM(22458,22471) = ( 22458 × 22471) / 1
LCM(22458,22471) = 504653718 / 1
LCM(22458,22471) = 504653718

Least Common Multiple (LCM) of 22458 and 22471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22458 and 22471. First we will calculate the prime factors of 22458 and 22471.

Prime Factorization of 22458

Prime Factorization of 22471

Now multiplying the highest exponent prime factors to calculate the LCM of 22458 and 22471.

LCM(22458,22471) = 2¹ × 3¹ × 19¹ × 197¹ × 23¹ × 977¹
LCM(22458,22471) = 504653718