What is the Least Common Multiple of 40216 and 40232?

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 40216 and 40232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40216 and 40232, than apply into the LCM equation.

GCF(40216,40232) = 8
LCM(40216,40232) = ( 40216 × 40232) / 8
LCM(40216,40232) = 1617970112 / 8
LCM(40216,40232) = 202246264

Least Common Multiple (LCM) of 40216 and 40232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40216 and 40232. First we will calculate the prime factors of 40216 and 40232.

Prime Factorization of 40216

Prime Factorization of 40232

Now multiplying the highest exponent prime factors to calculate the LCM of 40216 and 40232.

LCM(40216,40232) = 2³ × 11¹ × 457¹ × 47¹ × 107¹
LCM(40216,40232) = 202246264