What is the Least Common Multiple of 40400 and 40419?

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 40419 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 40419, than apply into the LCM equation.

GCF(40400,40419) = 1
LCM(40400,40419) = ( 40400 × 40419) / 1
LCM(40400,40419) = 1632927600 / 1
LCM(40400,40419) = 1632927600

Least Common Multiple (LCM) of 40400 and 40419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40400 and 40419. First we will calculate the prime factors of 40400 and 40419.

Prime Factorization of 40400

Prime Factorization of 40419

Now multiplying the highest exponent prime factors to calculate the LCM of 40400 and 40419.

LCM(40400,40419) = 2⁴ × 5² × 101¹ × 3⁴ × 499¹
LCM(40400,40419) = 1632927600