What is the Least Common Multiple of 83916 and 83930?

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 83916 and 83930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83916 and 83930, than apply into the LCM equation.

GCF(83916,83930) = 14
LCM(83916,83930) = ( 83916 × 83930) / 14
LCM(83916,83930) = 7043069880 / 14
LCM(83916,83930) = 503076420

Least Common Multiple (LCM) of 83916 and 83930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83916 and 83930. First we will calculate the prime factors of 83916 and 83930.

Prime Factorization of 83916

Prime Factorization of 83930

Now multiplying the highest exponent prime factors to calculate the LCM of 83916 and 83930.

LCM(83916,83930) = 2² × 3⁴ × 7¹ × 37¹ × 5¹ × 11¹ × 109¹
LCM(83916,83930) = 503076420