What is the Least Common Multiple of 7824 and 7832?

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 7832 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 7832, than apply into the LCM equation.

GCF(7824,7832) = 8
LCM(7824,7832) = ( 7824 × 7832) / 8
LCM(7824,7832) = 61277568 / 8
LCM(7824,7832) = 7659696

Least Common Multiple (LCM) of 7824 and 7832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7832. First we will calculate the prime factors of 7824 and 7832.

Prime Factorization of 7824

Prime Factorization of 7832

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7832.

LCM(7824,7832) = 2⁴ × 3¹ × 163¹ × 11¹ × 89¹
LCM(7824,7832) = 7659696