What is the Least Common Multiple of 31446 and 31452?

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 31446 and 31452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31446 and 31452, than apply into the LCM equation.

GCF(31446,31452) = 6
LCM(31446,31452) = ( 31446 × 31452) / 6
LCM(31446,31452) = 989039592 / 6
LCM(31446,31452) = 164839932

Least Common Multiple (LCM) of 31446 and 31452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31446 and 31452. First we will calculate the prime factors of 31446 and 31452.

Prime Factorization of 31446

Prime Factorization of 31452

Now multiplying the highest exponent prime factors to calculate the LCM of 31446 and 31452.

LCM(31446,31452) = 2² × 3² × 1747¹ × 2621¹
LCM(31446,31452) = 164839932