What is the Least Common Multiple of 83424 and 83442?

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 83424 and 83442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83424 and 83442, than apply into the LCM equation.

GCF(83424,83442) = 6
LCM(83424,83442) = ( 83424 × 83442) / 6
LCM(83424,83442) = 6961065408 / 6
LCM(83424,83442) = 1160177568

Least Common Multiple (LCM) of 83424 and 83442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83424 and 83442. First we will calculate the prime factors of 83424 and 83442.

Prime Factorization of 83424

Prime Factorization of 83442

Now multiplying the highest exponent prime factors to calculate the LCM of 83424 and 83442.

LCM(83424,83442) = 2⁵ × 3¹ × 11¹ × 79¹ × 13907¹
LCM(83424,83442) = 1160177568