What is the Least Common Multiple of 31972 and 31981?

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 31972 and 31981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31972 and 31981, than apply into the LCM equation.

GCF(31972,31981) = 1
LCM(31972,31981) = ( 31972 × 31981) / 1
LCM(31972,31981) = 1022496532 / 1
LCM(31972,31981) = 1022496532

Least Common Multiple (LCM) of 31972 and 31981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31972 and 31981. First we will calculate the prime factors of 31972 and 31981.

Prime Factorization of 31972

Prime Factorization of 31981

Now multiplying the highest exponent prime factors to calculate the LCM of 31972 and 31981.

LCM(31972,31981) = 2² × 7993¹ × 31981¹
LCM(31972,31981) = 1022496532