What is the Least Common Multiple of 83040 and 83046?

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 83040 and 83046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83040 and 83046, than apply into the LCM equation.

GCF(83040,83046) = 6
LCM(83040,83046) = ( 83040 × 83046) / 6
LCM(83040,83046) = 6896139840 / 6
LCM(83040,83046) = 1149356640

Least Common Multiple (LCM) of 83040 and 83046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83040 and 83046. First we will calculate the prime factors of 83040 and 83046.

Prime Factorization of 83040

Prime Factorization of 83046

Now multiplying the highest exponent prime factors to calculate the LCM of 83040 and 83046.

LCM(83040,83046) = 2⁵ × 3¹ × 5¹ × 173¹ × 13841¹
LCM(83040,83046) = 1149356640