What is the Least Common Multiple of 40816 and 40825?

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 40816 and 40825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40816 and 40825, than apply into the LCM equation.

GCF(40816,40825) = 1
LCM(40816,40825) = ( 40816 × 40825) / 1
LCM(40816,40825) = 1666313200 / 1
LCM(40816,40825) = 1666313200

Least Common Multiple (LCM) of 40816 and 40825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40816 and 40825. First we will calculate the prime factors of 40816 and 40825.

Prime Factorization of 40816

Prime Factorization of 40825

Now multiplying the highest exponent prime factors to calculate the LCM of 40816 and 40825.

LCM(40816,40825) = 2⁴ × 2551¹ × 5² × 23¹ × 71¹
LCM(40816,40825) = 1666313200