What is the Least Common Multiple of 40875 and 40890?

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 40875 and 40890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40875 and 40890, than apply into the LCM equation.

GCF(40875,40890) = 15
LCM(40875,40890) = ( 40875 × 40890) / 15
LCM(40875,40890) = 1671378750 / 15
LCM(40875,40890) = 111425250

Least Common Multiple (LCM) of 40875 and 40890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40875 and 40890. First we will calculate the prime factors of 40875 and 40890.

Prime Factorization of 40875

Prime Factorization of 40890

Now multiplying the highest exponent prime factors to calculate the LCM of 40875 and 40890.

LCM(40875,40890) = 3¹ × 5³ × 109¹ × 2¹ × 29¹ × 47¹
LCM(40875,40890) = 111425250