What is the Least Common Multiple of 83829 and 83844?

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 83829 and 83844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83829 and 83844, than apply into the LCM equation.

GCF(83829,83844) = 3
LCM(83829,83844) = ( 83829 × 83844) / 3
LCM(83829,83844) = 7028558676 / 3
LCM(83829,83844) = 2342852892

Least Common Multiple (LCM) of 83829 and 83844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83829 and 83844. First we will calculate the prime factors of 83829 and 83844.

Prime Factorization of 83829

Prime Factorization of 83844

Now multiplying the highest exponent prime factors to calculate the LCM of 83829 and 83844.

LCM(83829,83844) = 3² × 27943¹ × 2² × 17¹ × 137¹
LCM(83829,83844) = 2342852892