What is the Least Common Multiple of 40390 and 40409?

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 40390 and 40409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40390 and 40409, than apply into the LCM equation.

GCF(40390,40409) = 1
LCM(40390,40409) = ( 40390 × 40409) / 1
LCM(40390,40409) = 1632119510 / 1
LCM(40390,40409) = 1632119510

Least Common Multiple (LCM) of 40390 and 40409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40390 and 40409. First we will calculate the prime factors of 40390 and 40409.

Prime Factorization of 40390

Prime Factorization of 40409

Now multiplying the highest exponent prime factors to calculate the LCM of 40390 and 40409.

LCM(40390,40409) = 2¹ × 5¹ × 7¹ × 577¹ × 17¹ × 2377¹
LCM(40390,40409) = 1632119510