What is the Least Common Multiple of 7815 and 7824?

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 7815 and 7824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7815 and 7824, than apply into the LCM equation.

GCF(7815,7824) = 3
LCM(7815,7824) = ( 7815 × 7824) / 3
LCM(7815,7824) = 61144560 / 3
LCM(7815,7824) = 20381520

Least Common Multiple (LCM) of 7815 and 7824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7815 and 7824. First we will calculate the prime factors of 7815 and 7824.

Prime Factorization of 7815

Prime Factorization of 7824

Now multiplying the highest exponent prime factors to calculate the LCM of 7815 and 7824.

LCM(7815,7824) = 3¹ × 5¹ × 521¹ × 2⁴ × 163¹
LCM(7815,7824) = 20381520