What is the Least Common Multiple of 3815 and 3824?

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 3815 and 3824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3815 and 3824, than apply into the LCM equation.

GCF(3815,3824) = 1
LCM(3815,3824) = ( 3815 × 3824) / 1
LCM(3815,3824) = 14588560 / 1
LCM(3815,3824) = 14588560

Least Common Multiple (LCM) of 3815 and 3824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3815 and 3824. First we will calculate the prime factors of 3815 and 3824.

Prime Factorization of 3815

Prime Factorization of 3824

Now multiplying the highest exponent prime factors to calculate the LCM of 3815 and 3824.

LCM(3815,3824) = 5¹ × 7¹ × 109¹ × 2⁴ × 239¹
LCM(3815,3824) = 14588560