What is the Least Common Multiple of 40736 and 40742?

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 40736 and 40742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40736 and 40742, than apply into the LCM equation.

GCF(40736,40742) = 2
LCM(40736,40742) = ( 40736 × 40742) / 2
LCM(40736,40742) = 1659666112 / 2
LCM(40736,40742) = 829833056

Least Common Multiple (LCM) of 40736 and 40742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40736 and 40742. First we will calculate the prime factors of 40736 and 40742.

Prime Factorization of 40736

Prime Factorization of 40742

Now multiplying the highest exponent prime factors to calculate the LCM of 40736 and 40742.

LCM(40736,40742) = 2⁵ × 19¹ × 67¹ × 13¹ × 1567¹
LCM(40736,40742) = 829833056