What is the Least Common Multiple of 40112 and 40117?

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 40112 and 40117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40112 and 40117, than apply into the LCM equation.

GCF(40112,40117) = 1
LCM(40112,40117) = ( 40112 × 40117) / 1
LCM(40112,40117) = 1609173104 / 1
LCM(40112,40117) = 1609173104

Least Common Multiple (LCM) of 40112 and 40117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40112 and 40117. First we will calculate the prime factors of 40112 and 40117.

Prime Factorization of 40112

Prime Factorization of 40117

Now multiplying the highest exponent prime factors to calculate the LCM of 40112 and 40117.

LCM(40112,40117) = 2⁴ × 23¹ × 109¹ × 7¹ × 11¹ × 521¹
LCM(40112,40117) = 1609173104