What is the Least Common Multiple of 93828 and 93843?

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 93828 and 93843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93828 and 93843, than apply into the LCM equation.

GCF(93828,93843) = 3
LCM(93828,93843) = ( 93828 × 93843) / 3
LCM(93828,93843) = 8805101004 / 3
LCM(93828,93843) = 2935033668

Least Common Multiple (LCM) of 93828 and 93843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93843. First we will calculate the prime factors of 93828 and 93843.

Prime Factorization of 93828

Prime Factorization of 93843

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93843.

LCM(93828,93843) = 2² × 3² × 7¹ × 1117¹ × 10427¹
LCM(93828,93843) = 2935033668