What is the Least Common Multiple of 40716 and 40736?

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 40716 and 40736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40716 and 40736, than apply into the LCM equation.

GCF(40716,40736) = 4
LCM(40716,40736) = ( 40716 × 40736) / 4
LCM(40716,40736) = 1658606976 / 4
LCM(40716,40736) = 414651744

Least Common Multiple (LCM) of 40716 and 40736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40716 and 40736. First we will calculate the prime factors of 40716 and 40736.

Prime Factorization of 40716

Prime Factorization of 40736

Now multiplying the highest exponent prime factors to calculate the LCM of 40716 and 40736.

LCM(40716,40736) = 2⁵ × 3³ × 13¹ × 29¹ × 19¹ × 67¹
LCM(40716,40736) = 414651744