What is the Least Common Multiple of 31628 and 31640?

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 31628 and 31640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31628 and 31640, than apply into the LCM equation.

GCF(31628,31640) = 4
LCM(31628,31640) = ( 31628 × 31640) / 4
LCM(31628,31640) = 1000709920 / 4
LCM(31628,31640) = 250177480

Least Common Multiple (LCM) of 31628 and 31640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31628 and 31640. First we will calculate the prime factors of 31628 and 31640.

Prime Factorization of 31628

Prime Factorization of 31640

Now multiplying the highest exponent prime factors to calculate the LCM of 31628 and 31640.

LCM(31628,31640) = 2³ × 7907¹ × 5¹ × 7¹ × 113¹
LCM(31628,31640) = 250177480