What is the Least Common Multiple of 83439 and 83454?

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 83439 and 83454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83439 and 83454, than apply into the LCM equation.

GCF(83439,83454) = 3
LCM(83439,83454) = ( 83439 × 83454) / 3
LCM(83439,83454) = 6963318306 / 3
LCM(83439,83454) = 2321106102

Least Common Multiple (LCM) of 83439 and 83454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83439 and 83454. First we will calculate the prime factors of 83439 and 83454.

Prime Factorization of 83439

Prime Factorization of 83454

Now multiplying the highest exponent prime factors to calculate the LCM of 83439 and 83454.

LCM(83439,83454) = 3² × 73¹ × 127¹ × 2¹ × 7¹ × 1987¹
LCM(83439,83454) = 2321106102