What is the Least Common Multiple of 83505 and 83520?

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 83520 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 83520, than apply into the LCM equation.

GCF(83505,83520) = 15
LCM(83505,83520) = ( 83505 × 83520) / 15
LCM(83505,83520) = 6974337600 / 15
LCM(83505,83520) = 464955840

Least Common Multiple (LCM) of 83505 and 83520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83505 and 83520. First we will calculate the prime factors of 83505 and 83520.

Prime Factorization of 83505

Prime Factorization of 83520

Now multiplying the highest exponent prime factors to calculate the LCM of 83505 and 83520.

LCM(83505,83520) = 3² × 5¹ × 19¹ × 293¹ × 2⁶ × 29¹
LCM(83505,83520) = 464955840