What is the Least Common Multiple of 73805 and 73812?

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 73805 and 73812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73805 and 73812, than apply into the LCM equation.

GCF(73805,73812) = 1
LCM(73805,73812) = ( 73805 × 73812) / 1
LCM(73805,73812) = 5447694660 / 1
LCM(73805,73812) = 5447694660

Least Common Multiple (LCM) of 73805 and 73812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73805 and 73812. First we will calculate the prime factors of 73805 and 73812.

Prime Factorization of 73805

Prime Factorization of 73812

Now multiplying the highest exponent prime factors to calculate the LCM of 73805 and 73812.

LCM(73805,73812) = 5¹ × 29¹ × 509¹ × 2² × 3¹ × 6151¹
LCM(73805,73812) = 5447694660