What is the Least Common Multiple of 40420 and 40438?

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 40420 and 40438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40420 and 40438, than apply into the LCM equation.

GCF(40420,40438) = 2
LCM(40420,40438) = ( 40420 × 40438) / 2
LCM(40420,40438) = 1634503960 / 2
LCM(40420,40438) = 817251980

Least Common Multiple (LCM) of 40420 and 40438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40420 and 40438. First we will calculate the prime factors of 40420 and 40438.

Prime Factorization of 40420

Prime Factorization of 40438

Now multiplying the highest exponent prime factors to calculate the LCM of 40420 and 40438.

LCM(40420,40438) = 2² × 5¹ × 43¹ × 47¹ × 20219¹
LCM(40420,40438) = 817251980