What is the Least Common Multiple of 40416 and 40424?

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 40416 and 40424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40416 and 40424, than apply into the LCM equation.

GCF(40416,40424) = 8
LCM(40416,40424) = ( 40416 × 40424) / 8
LCM(40416,40424) = 1633776384 / 8
LCM(40416,40424) = 204222048

Least Common Multiple (LCM) of 40416 and 40424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40416 and 40424. First we will calculate the prime factors of 40416 and 40424.

Prime Factorization of 40416

Prime Factorization of 40424

Now multiplying the highest exponent prime factors to calculate the LCM of 40416 and 40424.

LCM(40416,40424) = 2⁵ × 3¹ × 421¹ × 31¹ × 163¹
LCM(40416,40424) = 204222048