What is the Least Common Multiple of 76815 and 76824?

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 76815 and 76824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76815 and 76824, than apply into the LCM equation.

GCF(76815,76824) = 9
LCM(76815,76824) = ( 76815 × 76824) / 9
LCM(76815,76824) = 5901235560 / 9
LCM(76815,76824) = 655692840

Least Common Multiple (LCM) of 76815 and 76824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76815 and 76824. First we will calculate the prime factors of 76815 and 76824.

Prime Factorization of 76815

Prime Factorization of 76824

Now multiplying the highest exponent prime factors to calculate the LCM of 76815 and 76824.

LCM(76815,76824) = 3³ × 5¹ × 569¹ × 2³ × 11¹ × 97¹
LCM(76815,76824) = 655692840