What is the Least Common Multiple of 31926 and 31943?

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 31943 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 31943, than apply into the LCM equation.

GCF(31926,31943) = 17
LCM(31926,31943) = ( 31926 × 31943) / 17
LCM(31926,31943) = 1019812218 / 17
LCM(31926,31943) = 59988954

Least Common Multiple (LCM) of 31926 and 31943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31926 and 31943. First we will calculate the prime factors of 31926 and 31943.

Prime Factorization of 31926

Prime Factorization of 31943

Now multiplying the highest exponent prime factors to calculate the LCM of 31926 and 31943.

LCM(31926,31943) = 2¹ × 3¹ × 17¹ × 313¹ × 1879¹
LCM(31926,31943) = 59988954