What is the Least Common Multiple of 31974 and 31991?

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 31974 and 31991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31974 and 31991, than apply into the LCM equation.

GCF(31974,31991) = 1
LCM(31974,31991) = ( 31974 × 31991) / 1
LCM(31974,31991) = 1022880234 / 1
LCM(31974,31991) = 1022880234

Least Common Multiple (LCM) of 31974 and 31991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31974 and 31991. First we will calculate the prime factors of 31974 and 31991.

Prime Factorization of 31974

Prime Factorization of 31991

Now multiplying the highest exponent prime factors to calculate the LCM of 31974 and 31991.

LCM(31974,31991) = 2¹ × 3¹ × 73² × 31991¹
LCM(31974,31991) = 1022880234