What is the Least Common Multiple of 83460 and 83474?

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 83460 and 83474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83460 and 83474, than apply into the LCM equation.

GCF(83460,83474) = 2
LCM(83460,83474) = ( 83460 × 83474) / 2
LCM(83460,83474) = 6966740040 / 2
LCM(83460,83474) = 3483370020

Least Common Multiple (LCM) of 83460 and 83474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83460 and 83474. First we will calculate the prime factors of 83460 and 83474.

Prime Factorization of 83460

Prime Factorization of 83474

Now multiplying the highest exponent prime factors to calculate the LCM of 83460 and 83474.

LCM(83460,83474) = 2² × 3¹ × 5¹ × 13¹ × 107¹ × 41737¹
LCM(83460,83474) = 3483370020