What is the Least Common Multiple of 31534 and 31554?

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 31534 and 31554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31534 and 31554, than apply into the LCM equation.

GCF(31534,31554) = 2
LCM(31534,31554) = ( 31534 × 31554) / 2
LCM(31534,31554) = 995023836 / 2
LCM(31534,31554) = 497511918

Least Common Multiple (LCM) of 31534 and 31554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31534 and 31554. First we will calculate the prime factors of 31534 and 31554.

Prime Factorization of 31534

Prime Factorization of 31554

Now multiplying the highest exponent prime factors to calculate the LCM of 31534 and 31554.

LCM(31534,31554) = 2¹ × 15767¹ × 3² × 1753¹
LCM(31534,31554) = 497511918