What is the Least Common Multiple of 31934 and 31940?

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 31934 and 31940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31934 and 31940, than apply into the LCM equation.

GCF(31934,31940) = 2
LCM(31934,31940) = ( 31934 × 31940) / 2
LCM(31934,31940) = 1019971960 / 2
LCM(31934,31940) = 509985980

Least Common Multiple (LCM) of 31934 and 31940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31934 and 31940. First we will calculate the prime factors of 31934 and 31940.

Prime Factorization of 31934

Prime Factorization of 31940

Now multiplying the highest exponent prime factors to calculate the LCM of 31934 and 31940.

LCM(31934,31940) = 2² × 7¹ × 2281¹ × 5¹ × 1597¹
LCM(31934,31940) = 509985980