What is the Least Common Multiple of 42816 and 42825?

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 42816 and 42825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42816 and 42825, than apply into the LCM equation.

GCF(42816,42825) = 3
LCM(42816,42825) = ( 42816 × 42825) / 3
LCM(42816,42825) = 1833595200 / 3
LCM(42816,42825) = 611198400

Least Common Multiple (LCM) of 42816 and 42825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42816 and 42825. First we will calculate the prime factors of 42816 and 42825.

Prime Factorization of 42816

Prime Factorization of 42825

Now multiplying the highest exponent prime factors to calculate the LCM of 42816 and 42825.

LCM(42816,42825) = 2⁶ × 3¹ × 223¹ × 5² × 571¹
LCM(42816,42825) = 611198400