What is the Least Common Multiple of 36805 and 36824?

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 36805 and 36824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36805 and 36824, than apply into the LCM equation.

GCF(36805,36824) = 1
LCM(36805,36824) = ( 36805 × 36824) / 1
LCM(36805,36824) = 1355307320 / 1
LCM(36805,36824) = 1355307320

Least Common Multiple (LCM) of 36805 and 36824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36805 and 36824. First we will calculate the prime factors of 36805 and 36824.

Prime Factorization of 36805

Prime Factorization of 36824

Now multiplying the highest exponent prime factors to calculate the LCM of 36805 and 36824.

LCM(36805,36824) = 5¹ × 17¹ × 433¹ × 2³ × 4603¹
LCM(36805,36824) = 1355307320