What is the Least Common Multiple of 31785 and 31804?

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 31785 and 31804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31785 and 31804, than apply into the LCM equation.

GCF(31785,31804) = 1
LCM(31785,31804) = ( 31785 × 31804) / 1
LCM(31785,31804) = 1010890140 / 1
LCM(31785,31804) = 1010890140

Least Common Multiple (LCM) of 31785 and 31804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31785 and 31804. First we will calculate the prime factors of 31785 and 31804.

Prime Factorization of 31785

Prime Factorization of 31804

Now multiplying the highest exponent prime factors to calculate the LCM of 31785 and 31804.

LCM(31785,31804) = 3¹ × 5¹ × 13¹ × 163¹ × 2² × 7951¹
LCM(31785,31804) = 1010890140