What is the Least Common Multiple of 73400 and 73414?

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 73400 and 73414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73400 and 73414, than apply into the LCM equation.

GCF(73400,73414) = 2
LCM(73400,73414) = ( 73400 × 73414) / 2
LCM(73400,73414) = 5388587600 / 2
LCM(73400,73414) = 2694293800

Least Common Multiple (LCM) of 73400 and 73414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73400 and 73414. First we will calculate the prime factors of 73400 and 73414.

Prime Factorization of 73400

Prime Factorization of 73414

Now multiplying the highest exponent prime factors to calculate the LCM of 73400 and 73414.

LCM(73400,73414) = 2³ × 5² × 367¹ × 11¹ × 47¹ × 71¹
LCM(73400,73414) = 2694293800