What is the Least Common Multiple of 40904 and 40921?

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 40921 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 40921, than apply into the LCM equation.

GCF(40904,40921) = 1
LCM(40904,40921) = ( 40904 × 40921) / 1
LCM(40904,40921) = 1673832584 / 1
LCM(40904,40921) = 1673832584

Least Common Multiple (LCM) of 40904 and 40921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40904 and 40921. First we will calculate the prime factors of 40904 and 40921.

Prime Factorization of 40904

Prime Factorization of 40921

Now multiplying the highest exponent prime factors to calculate the LCM of 40904 and 40921.

LCM(40904,40921) = 2³ × 5113¹ × 151¹ × 271¹
LCM(40904,40921) = 1673832584