What is the Least Common Multiple of 83428 and 83440?

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 83428 and 83440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83428 and 83440, than apply into the LCM equation.

GCF(83428,83440) = 4
LCM(83428,83440) = ( 83428 × 83440) / 4
LCM(83428,83440) = 6961232320 / 4
LCM(83428,83440) = 1740308080

Least Common Multiple (LCM) of 83428 and 83440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83428 and 83440. First we will calculate the prime factors of 83428 and 83440.

Prime Factorization of 83428

Prime Factorization of 83440

Now multiplying the highest exponent prime factors to calculate the LCM of 83428 and 83440.

LCM(83428,83440) = 2⁴ × 20857¹ × 5¹ × 7¹ × 149¹
LCM(83428,83440) = 1740308080