What is the Least Common Multiple of 9606 and 9622?

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 9606 and 9622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9606 and 9622, than apply into the LCM equation.

GCF(9606,9622) = 2
LCM(9606,9622) = ( 9606 × 9622) / 2
LCM(9606,9622) = 92428932 / 2
LCM(9606,9622) = 46214466

Least Common Multiple (LCM) of 9606 and 9622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9606 and 9622. First we will calculate the prime factors of 9606 and 9622.

Prime Factorization of 9606

Prime Factorization of 9622

Now multiplying the highest exponent prime factors to calculate the LCM of 9606 and 9622.

LCM(9606,9622) = 2¹ × 3¹ × 1601¹ × 17¹ × 283¹
LCM(9606,9622) = 46214466