What is the Least Common Multiple of 31664 and 31682?

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 31664 and 31682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31664 and 31682, than apply into the LCM equation.

GCF(31664,31682) = 2
LCM(31664,31682) = ( 31664 × 31682) / 2
LCM(31664,31682) = 1003178848 / 2
LCM(31664,31682) = 501589424

Least Common Multiple (LCM) of 31664 and 31682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31664 and 31682. First we will calculate the prime factors of 31664 and 31682.

Prime Factorization of 31664

Prime Factorization of 31682

Now multiplying the highest exponent prime factors to calculate the LCM of 31664 and 31682.

LCM(31664,31682) = 2⁴ × 1979¹ × 7¹ × 31¹ × 73¹
LCM(31664,31682) = 501589424