What is the Least Common Multiple of 83284 and 83292?

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 83284 and 83292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83284 and 83292, than apply into the LCM equation.

GCF(83284,83292) = 4
LCM(83284,83292) = ( 83284 × 83292) / 4
LCM(83284,83292) = 6936890928 / 4
LCM(83284,83292) = 1734222732

Least Common Multiple (LCM) of 83284 and 83292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83284 and 83292. First we will calculate the prime factors of 83284 and 83292.

Prime Factorization of 83284

Prime Factorization of 83292

Now multiplying the highest exponent prime factors to calculate the LCM of 83284 and 83292.

LCM(83284,83292) = 2² × 47¹ × 443¹ × 3¹ × 11¹ × 631¹
LCM(83284,83292) = 1734222732