What is the Least Common Multiple of 31926 and 31939?

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 31939 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 31939, than apply into the LCM equation.

GCF(31926,31939) = 1
LCM(31926,31939) = ( 31926 × 31939) / 1
LCM(31926,31939) = 1019684514 / 1
LCM(31926,31939) = 1019684514

Least Common Multiple (LCM) of 31926 and 31939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31926 and 31939. First we will calculate the prime factors of 31926 and 31939.

Prime Factorization of 31926

Prime Factorization of 31939

Now multiplying the highest exponent prime factors to calculate the LCM of 31926 and 31939.

LCM(31926,31939) = 2¹ × 3¹ × 17¹ × 313¹ × 19¹ × 41²
LCM(31926,31939) = 1019684514