What is the Least Common Multiple of 31940 and 31945?

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 31940 and 31945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31940 and 31945, than apply into the LCM equation.

GCF(31940,31945) = 5
LCM(31940,31945) = ( 31940 × 31945) / 5
LCM(31940,31945) = 1020323300 / 5
LCM(31940,31945) = 204064660

Least Common Multiple (LCM) of 31940 and 31945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31940 and 31945. First we will calculate the prime factors of 31940 and 31945.

Prime Factorization of 31940

Prime Factorization of 31945

Now multiplying the highest exponent prime factors to calculate the LCM of 31940 and 31945.

LCM(31940,31945) = 2² × 5¹ × 1597¹ × 6389¹
LCM(31940,31945) = 204064660