What is the Least Common Multiple of 31935 and 31944?

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 31935 and 31944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31935 and 31944, than apply into the LCM equation.

GCF(31935,31944) = 3
LCM(31935,31944) = ( 31935 × 31944) / 3
LCM(31935,31944) = 1020131640 / 3
LCM(31935,31944) = 340043880

Least Common Multiple (LCM) of 31935 and 31944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31935 and 31944. First we will calculate the prime factors of 31935 and 31944.

Prime Factorization of 31935

Prime Factorization of 31944

Now multiplying the highest exponent prime factors to calculate the LCM of 31935 and 31944.

LCM(31935,31944) = 3¹ × 5¹ × 2129¹ × 2³ × 11³
LCM(31935,31944) = 340043880