What is the Least Common Multiple of 83812 and 83829?

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 83812 and 83829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83812 and 83829, than apply into the LCM equation.

GCF(83812,83829) = 1
LCM(83812,83829) = ( 83812 × 83829) / 1
LCM(83812,83829) = 7025876148 / 1
LCM(83812,83829) = 7025876148

Least Common Multiple (LCM) of 83812 and 83829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83812 and 83829. First we will calculate the prime factors of 83812 and 83829.

Prime Factorization of 83812

Prime Factorization of 83829

Now multiplying the highest exponent prime factors to calculate the LCM of 83812 and 83829.

LCM(83812,83829) = 2² × 23¹ × 911¹ × 3¹ × 27943¹
LCM(83812,83829) = 7025876148