What is the Least Common Multiple of 69406 and 69412?

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 69406 and 69412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69406 and 69412, than apply into the LCM equation.

GCF(69406,69412) = 2
LCM(69406,69412) = ( 69406 × 69412) / 2
LCM(69406,69412) = 4817609272 / 2
LCM(69406,69412) = 2408804636

Least Common Multiple (LCM) of 69406 and 69412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69406 and 69412. First we will calculate the prime factors of 69406 and 69412.

Prime Factorization of 69406

Prime Factorization of 69412

Now multiplying the highest exponent prime factors to calculate the LCM of 69406 and 69412.

LCM(69406,69412) = 2² × 34703¹ × 7¹ × 37¹ × 67¹
LCM(69406,69412) = 2408804636