What is the Least Common Multiple of 30604 and 30622?

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 30604 and 30622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30604 and 30622, than apply into the LCM equation.

GCF(30604,30622) = 2
LCM(30604,30622) = ( 30604 × 30622) / 2
LCM(30604,30622) = 937155688 / 2
LCM(30604,30622) = 468577844

Least Common Multiple (LCM) of 30604 and 30622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30604 and 30622. First we will calculate the prime factors of 30604 and 30622.

Prime Factorization of 30604

Prime Factorization of 30622

Now multiplying the highest exponent prime factors to calculate the LCM of 30604 and 30622.

LCM(30604,30622) = 2² × 7¹ × 1093¹ × 61¹ × 251¹
LCM(30604,30622) = 468577844