What is the Least Common Multiple of 31926 and 31935?

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 31926 and 31935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31926 and 31935, than apply into the LCM equation.

GCF(31926,31935) = 3
LCM(31926,31935) = ( 31926 × 31935) / 3
LCM(31926,31935) = 1019556810 / 3
LCM(31926,31935) = 339852270

Least Common Multiple (LCM) of 31926 and 31935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31926 and 31935. First we will calculate the prime factors of 31926 and 31935.

Prime Factorization of 31926

Prime Factorization of 31935

Now multiplying the highest exponent prime factors to calculate the LCM of 31926 and 31935.

LCM(31926,31935) = 2¹ × 3¹ × 17¹ × 313¹ × 5¹ × 2129¹
LCM(31926,31935) = 339852270