What is the Least Common Multiple of 83832 and 83849?

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 83832 and 83849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83832 and 83849, than apply into the LCM equation.

GCF(83832,83849) = 1
LCM(83832,83849) = ( 83832 × 83849) / 1
LCM(83832,83849) = 7029229368 / 1
LCM(83832,83849) = 7029229368

Least Common Multiple (LCM) of 83832 and 83849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83832 and 83849. First we will calculate the prime factors of 83832 and 83849.

Prime Factorization of 83832

Prime Factorization of 83849

Now multiplying the highest exponent prime factors to calculate the LCM of 83832 and 83849.

LCM(83832,83849) = 2³ × 3¹ × 7¹ × 499¹ × 191¹ × 439¹
LCM(83832,83849) = 7029229368