What is the Least Common Multiple of 95604 and 95622?

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 95604 and 95622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95604 and 95622, than apply into the LCM equation.

GCF(95604,95622) = 6
LCM(95604,95622) = ( 95604 × 95622) / 6
LCM(95604,95622) = 9141845688 / 6
LCM(95604,95622) = 1523640948

Least Common Multiple (LCM) of 95604 and 95622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95604 and 95622. First we will calculate the prime factors of 95604 and 95622.

Prime Factorization of 95604

Prime Factorization of 95622

Now multiplying the highest exponent prime factors to calculate the LCM of 95604 and 95622.

LCM(95604,95622) = 2² × 3¹ × 31¹ × 257¹ × 15937¹
LCM(95604,95622) = 1523640948