What is the Least Common Multiple of 69403 and 69416?

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 69403 and 69416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69403 and 69416, than apply into the LCM equation.

GCF(69403,69416) = 1
LCM(69403,69416) = ( 69403 × 69416) / 1
LCM(69403,69416) = 4817678648 / 1
LCM(69403,69416) = 4817678648

Least Common Multiple (LCM) of 69403 and 69416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69403 and 69416. First we will calculate the prime factors of 69403 and 69416.

Prime Factorization of 69403

Prime Factorization of 69416

Now multiplying the highest exponent prime factors to calculate the LCM of 69403 and 69416.

LCM(69403,69416) = 69403¹ × 2³ × 8677¹
LCM(69403,69416) = 4817678648