What is the Least Common Multiple of 7824 and 7836?

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 7836 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 7836, than apply into the LCM equation.

GCF(7824,7836) = 12
LCM(7824,7836) = ( 7824 × 7836) / 12
LCM(7824,7836) = 61308864 / 12
LCM(7824,7836) = 5109072

Least Common Multiple (LCM) of 7824 and 7836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7824 and 7836. First we will calculate the prime factors of 7824 and 7836.

Prime Factorization of 7824

Prime Factorization of 7836

Now multiplying the highest exponent prime factors to calculate the LCM of 7824 and 7836.

LCM(7824,7836) = 2⁴ × 3¹ × 163¹ × 653¹
LCM(7824,7836) = 5109072