What is the Least Common Multiple of 93828 and 93837?

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 93837 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 93837, than apply into the LCM equation.

GCF(93828,93837) = 3
LCM(93828,93837) = ( 93828 × 93837) / 3
LCM(93828,93837) = 8804538036 / 3
LCM(93828,93837) = 2934846012

Least Common Multiple (LCM) of 93828 and 93837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93828 and 93837. First we will calculate the prime factors of 93828 and 93837.

Prime Factorization of 93828

Prime Factorization of 93837

Now multiplying the highest exponent prime factors to calculate the LCM of 93828 and 93837.

LCM(93828,93837) = 2² × 3¹ × 7¹ × 1117¹ × 31¹ × 1009¹
LCM(93828,93837) = 2934846012