What is the Least Common Multiple of 40096 and 40112?

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 40096 and 40112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40096 and 40112, than apply into the LCM equation.

GCF(40096,40112) = 16
LCM(40096,40112) = ( 40096 × 40112) / 16
LCM(40096,40112) = 1608330752 / 16
LCM(40096,40112) = 100520672

Least Common Multiple (LCM) of 40096 and 40112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40096 and 40112. First we will calculate the prime factors of 40096 and 40112.

Prime Factorization of 40096

Prime Factorization of 40112

Now multiplying the highest exponent prime factors to calculate the LCM of 40096 and 40112.

LCM(40096,40112) = 2⁵ × 7¹ × 179¹ × 23¹ × 109¹
LCM(40096,40112) = 100520672