What is the Least Common Multiple of 36785 and 36805?

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 36785 and 36805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36785 and 36805, than apply into the LCM equation.

GCF(36785,36805) = 5
LCM(36785,36805) = ( 36785 × 36805) / 5
LCM(36785,36805) = 1353871925 / 5
LCM(36785,36805) = 270774385

Least Common Multiple (LCM) of 36785 and 36805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36785 and 36805. First we will calculate the prime factors of 36785 and 36805.

Prime Factorization of 36785

Prime Factorization of 36805

Now multiplying the highest exponent prime factors to calculate the LCM of 36785 and 36805.

LCM(36785,36805) = 5¹ × 7¹ × 1051¹ × 17¹ × 433¹
LCM(36785,36805) = 270774385