What is the Least Common Multiple of 31275 and 31290?

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 31275 and 31290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31275 and 31290, than apply into the LCM equation.

GCF(31275,31290) = 15
LCM(31275,31290) = ( 31275 × 31290) / 15
LCM(31275,31290) = 978594750 / 15
LCM(31275,31290) = 65239650

Least Common Multiple (LCM) of 31275 and 31290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31275 and 31290. First we will calculate the prime factors of 31275 and 31290.

Prime Factorization of 31275

Prime Factorization of 31290

Now multiplying the highest exponent prime factors to calculate the LCM of 31275 and 31290.

LCM(31275,31290) = 3² × 5² × 139¹ × 2¹ × 7¹ × 149¹
LCM(31275,31290) = 65239650