What is the Least Common Multiple of 31662 and 31677?

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 31662 and 31677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31662 and 31677, than apply into the LCM equation.

GCF(31662,31677) = 3
LCM(31662,31677) = ( 31662 × 31677) / 3
LCM(31662,31677) = 1002957174 / 3
LCM(31662,31677) = 334319058

Least Common Multiple (LCM) of 31662 and 31677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31662 and 31677. First we will calculate the prime factors of 31662 and 31677.

Prime Factorization of 31662

Prime Factorization of 31677

Now multiplying the highest exponent prime factors to calculate the LCM of 31662 and 31677.

LCM(31662,31677) = 2¹ × 3² × 1759¹ × 10559¹
LCM(31662,31677) = 334319058