What is the Least Common Multiple of 40904 and 40919?

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 40904 and 40919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40904 and 40919, than apply into the LCM equation.

GCF(40904,40919) = 1
LCM(40904,40919) = ( 40904 × 40919) / 1
LCM(40904,40919) = 1673750776 / 1
LCM(40904,40919) = 1673750776

Least Common Multiple (LCM) of 40904 and 40919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40904 and 40919. First we will calculate the prime factors of 40904 and 40919.

Prime Factorization of 40904

Prime Factorization of 40919

Now multiplying the highest exponent prime factors to calculate the LCM of 40904 and 40919.

LCM(40904,40919) = 2³ × 5113¹ × 17¹ × 29¹ × 83¹
LCM(40904,40919) = 1673750776