What is the Least Common Multiple of 83872 and 83884?

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 83872 and 83884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83872 and 83884, than apply into the LCM equation.

GCF(83872,83884) = 4
LCM(83872,83884) = ( 83872 × 83884) / 4
LCM(83872,83884) = 7035518848 / 4
LCM(83872,83884) = 1758879712

Least Common Multiple (LCM) of 83872 and 83884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83872 and 83884. First we will calculate the prime factors of 83872 and 83884.

Prime Factorization of 83872

Prime Factorization of 83884

Now multiplying the highest exponent prime factors to calculate the LCM of 83872 and 83884.

LCM(83872,83884) = 2⁵ × 2621¹ × 67¹ × 313¹
LCM(83872,83884) = 1758879712