What is the Least Common Multiple of 40400 and 40408?

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 40400 and 40408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40400 and 40408, than apply into the LCM equation.

GCF(40400,40408) = 8
LCM(40400,40408) = ( 40400 × 40408) / 8
LCM(40400,40408) = 1632483200 / 8
LCM(40400,40408) = 204060400

Least Common Multiple (LCM) of 40400 and 40408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40400 and 40408. First we will calculate the prime factors of 40400 and 40408.

Prime Factorization of 40400

Prime Factorization of 40408

Now multiplying the highest exponent prime factors to calculate the LCM of 40400 and 40408.

LCM(40400,40408) = 2⁴ × 5² × 101¹ × 5051¹
LCM(40400,40408) = 204060400