What is the Least Common Multiple of 83700 and 83712?

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 83700 and 83712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83700 and 83712, than apply into the LCM equation.

GCF(83700,83712) = 12
LCM(83700,83712) = ( 83700 × 83712) / 12
LCM(83700,83712) = 7006694400 / 12
LCM(83700,83712) = 583891200

Least Common Multiple (LCM) of 83700 and 83712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83700 and 83712. First we will calculate the prime factors of 83700 and 83712.

Prime Factorization of 83700

Prime Factorization of 83712

Now multiplying the highest exponent prime factors to calculate the LCM of 83700 and 83712.

LCM(83700,83712) = 2⁸ × 3³ × 5² × 31¹ × 109¹
LCM(83700,83712) = 583891200