What is the Least Common Multiple of 40688 and 40700?

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 40688 and 40700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40688 and 40700, than apply into the LCM equation.

GCF(40688,40700) = 4
LCM(40688,40700) = ( 40688 × 40700) / 4
LCM(40688,40700) = 1656001600 / 4
LCM(40688,40700) = 414000400

Least Common Multiple (LCM) of 40688 and 40700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40688 and 40700. First we will calculate the prime factors of 40688 and 40700.

Prime Factorization of 40688

Prime Factorization of 40700

Now multiplying the highest exponent prime factors to calculate the LCM of 40688 and 40700.

LCM(40688,40700) = 2⁴ × 2543¹ × 5² × 11¹ × 37¹
LCM(40688,40700) = 414000400