What is the Least Common Multiple of 31672 and 31689?

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 31672 and 31689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31672 and 31689, than apply into the LCM equation.

GCF(31672,31689) = 1
LCM(31672,31689) = ( 31672 × 31689) / 1
LCM(31672,31689) = 1003654008 / 1
LCM(31672,31689) = 1003654008

Least Common Multiple (LCM) of 31672 and 31689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31672 and 31689. First we will calculate the prime factors of 31672 and 31689.

Prime Factorization of 31672

Prime Factorization of 31689

Now multiplying the highest exponent prime factors to calculate the LCM of 31672 and 31689.

LCM(31672,31689) = 2³ × 37¹ × 107¹ × 3² × 7¹ × 503¹
LCM(31672,31689) = 1003654008