What is the Least Common Multiple of 83505 and 83512?

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 83505 and 83512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83505 and 83512, than apply into the LCM equation.

GCF(83505,83512) = 1
LCM(83505,83512) = ( 83505 × 83512) / 1
LCM(83505,83512) = 6973669560 / 1
LCM(83505,83512) = 6973669560

Least Common Multiple (LCM) of 83505 and 83512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83505 and 83512. First we will calculate the prime factors of 83505 and 83512.

Prime Factorization of 83505

Prime Factorization of 83512

Now multiplying the highest exponent prime factors to calculate the LCM of 83505 and 83512.

LCM(83505,83512) = 3¹ × 5¹ × 19¹ × 293¹ × 2³ × 11¹ × 13¹ × 73¹
LCM(83505,83512) = 6973669560