What is the Least Common Multiple of 7824 and 7833?

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 7824 and 7833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7824 and 7833, than apply into the LCM equation.

GCF(7824,7833) = 3
LCM(7824,7833) = ( 7824 × 7833) / 3
LCM(7824,7833) = 61285392 / 3
LCM(7824,7833) = 20428464

Least Common Multiple (LCM) of 7824 and 7833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7833. First we will calculate the prime factors of 7824 and 7833.

Prime Factorization of 7824

Prime Factorization of 7833

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7833.

LCM(7824,7833) = 2⁴ × 3¹ × 163¹ × 7¹ × 373¹
LCM(7824,7833) = 20428464