What is the Least Common Multiple of 69604 and 69610?

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 69604 and 69610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69604 and 69610, than apply into the LCM equation.

GCF(69604,69610) = 2
LCM(69604,69610) = ( 69604 × 69610) / 2
LCM(69604,69610) = 4845134440 / 2
LCM(69604,69610) = 2422567220

Least Common Multiple (LCM) of 69604 and 69610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69604 and 69610. First we will calculate the prime factors of 69604 and 69610.

Prime Factorization of 69604

Prime Factorization of 69610

Now multiplying the highest exponent prime factors to calculate the LCM of 69604 and 69610.

LCM(69604,69610) = 2² × 17401¹ × 5¹ × 6961¹
LCM(69604,69610) = 2422567220