What is the Least Common Multiple of 31764 and 31770?

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 31764 and 31770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31764 and 31770, than apply into the LCM equation.

GCF(31764,31770) = 6
LCM(31764,31770) = ( 31764 × 31770) / 6
LCM(31764,31770) = 1009142280 / 6
LCM(31764,31770) = 168190380

Least Common Multiple (LCM) of 31764 and 31770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31764 and 31770. First we will calculate the prime factors of 31764 and 31770.

Prime Factorization of 31764

Prime Factorization of 31770

Now multiplying the highest exponent prime factors to calculate the LCM of 31764 and 31770.

LCM(31764,31770) = 2² × 3² × 2647¹ × 5¹ × 353¹
LCM(31764,31770) = 168190380