What is the Least Common Multiple of 93832 and 93836?

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 93832 and 93836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93832 and 93836, than apply into the LCM equation.

GCF(93832,93836) = 4
LCM(93832,93836) = ( 93832 × 93836) / 4
LCM(93832,93836) = 8804819552 / 4
LCM(93832,93836) = 2201204888

Least Common Multiple (LCM) of 93832 and 93836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93832 and 93836. First we will calculate the prime factors of 93832 and 93836.

Prime Factorization of 93832

Prime Factorization of 93836

Now multiplying the highest exponent prime factors to calculate the LCM of 93832 and 93836.

LCM(93832,93836) = 2³ × 37¹ × 317¹ × 23459¹
LCM(93832,93836) = 2201204888