What is the Least Common Multiple of 31968 and 31973?

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 31968 and 31973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31968 and 31973, than apply into the LCM equation.

GCF(31968,31973) = 1
LCM(31968,31973) = ( 31968 × 31973) / 1
LCM(31968,31973) = 1022112864 / 1
LCM(31968,31973) = 1022112864

Least Common Multiple (LCM) of 31968 and 31973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31968 and 31973. First we will calculate the prime factors of 31968 and 31973.

Prime Factorization of 31968

Prime Factorization of 31973

Now multiplying the highest exponent prime factors to calculate the LCM of 31968 and 31973.

LCM(31968,31973) = 2⁵ × 3³ × 37¹ × 31973¹
LCM(31968,31973) = 1022112864