What is the Least Common Multiple of 31785 and 31798?

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 31798 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 31798, than apply into the LCM equation.

GCF(31785,31798) = 13
LCM(31785,31798) = ( 31785 × 31798) / 13
LCM(31785,31798) = 1010699430 / 13
LCM(31785,31798) = 77746110

Least Common Multiple (LCM) of 31785 and 31798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31785 and 31798. First we will calculate the prime factors of 31785 and 31798.

Prime Factorization of 31785

Prime Factorization of 31798

Now multiplying the highest exponent prime factors to calculate the LCM of 31785 and 31798.

LCM(31785,31798) = 3¹ × 5¹ × 13¹ × 163¹ × 2¹ × 1223¹
LCM(31785,31798) = 77746110