What is the Least Common Multiple of 83824 and 83830?

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 83824 and 83830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83824 and 83830, than apply into the LCM equation.

GCF(83824,83830) = 2
LCM(83824,83830) = ( 83824 × 83830) / 2
LCM(83824,83830) = 7026965920 / 2
LCM(83824,83830) = 3513482960

Least Common Multiple (LCM) of 83824 and 83830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83824 and 83830. First we will calculate the prime factors of 83824 and 83830.

Prime Factorization of 83824

Prime Factorization of 83830

Now multiplying the highest exponent prime factors to calculate the LCM of 83824 and 83830.

LCM(83824,83830) = 2⁴ × 13² × 31¹ × 5¹ × 83¹ × 101¹
LCM(83824,83830) = 3513482960