What is the Least Common Multiple of 40428 and 40440?

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 40428 and 40440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40428 and 40440, than apply into the LCM equation.

GCF(40428,40440) = 12
LCM(40428,40440) = ( 40428 × 40440) / 12
LCM(40428,40440) = 1634908320 / 12
LCM(40428,40440) = 136242360

Least Common Multiple (LCM) of 40428 and 40440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40428 and 40440. First we will calculate the prime factors of 40428 and 40440.

Prime Factorization of 40428

Prime Factorization of 40440

Now multiplying the highest exponent prime factors to calculate the LCM of 40428 and 40440.

LCM(40428,40440) = 2³ × 3² × 1123¹ × 5¹ × 337¹
LCM(40428,40440) = 136242360