What is the Least Common Multiple of 31926 and 31941?

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 31941 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 31941, than apply into the LCM equation.

GCF(31926,31941) = 3
LCM(31926,31941) = ( 31926 × 31941) / 3
LCM(31926,31941) = 1019748366 / 3
LCM(31926,31941) = 339916122

Least Common Multiple (LCM) of 31926 and 31941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31926 and 31941. First we will calculate the prime factors of 31926 and 31941.

Prime Factorization of 31926

Prime Factorization of 31941

Now multiplying the highest exponent prime factors to calculate the LCM of 31926 and 31941.

LCM(31926,31941) = 2¹ × 3³ × 17¹ × 313¹ × 7¹ × 13²
LCM(31926,31941) = 339916122