What is the Least Common Multiple of 31875 and 31890?

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 31875 and 31890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31875 and 31890, than apply into the LCM equation.

GCF(31875,31890) = 15
LCM(31875,31890) = ( 31875 × 31890) / 15
LCM(31875,31890) = 1016493750 / 15
LCM(31875,31890) = 67766250

Least Common Multiple (LCM) of 31875 and 31890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31875 and 31890. First we will calculate the prime factors of 31875 and 31890.

Prime Factorization of 31875

Prime Factorization of 31890

Now multiplying the highest exponent prime factors to calculate the LCM of 31875 and 31890.

LCM(31875,31890) = 3¹ × 5⁴ × 17¹ × 2¹ × 1063¹
LCM(31875,31890) = 67766250