What is the Least Common Multiple of 20865 and 20870?

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 20865 and 20870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20865 and 20870, than apply into the LCM equation.

GCF(20865,20870) = 5
LCM(20865,20870) = ( 20865 × 20870) / 5
LCM(20865,20870) = 435452550 / 5
LCM(20865,20870) = 87090510

Least Common Multiple (LCM) of 20865 and 20870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20865 and 20870. First we will calculate the prime factors of 20865 and 20870.

Prime Factorization of 20865

Prime Factorization of 20870

Now multiplying the highest exponent prime factors to calculate the LCM of 20865 and 20870.

LCM(20865,20870) = 3¹ × 5¹ × 13¹ × 107¹ × 2¹ × 2087¹
LCM(20865,20870) = 87090510