What is the Least Common Multiple of 40906 and 40924?

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 40906 and 40924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40906 and 40924, than apply into the LCM equation.

GCF(40906,40924) = 2
LCM(40906,40924) = ( 40906 × 40924) / 2
LCM(40906,40924) = 1674037144 / 2
LCM(40906,40924) = 837018572

Least Common Multiple (LCM) of 40906 and 40924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40906 and 40924. First we will calculate the prime factors of 40906 and 40924.

Prime Factorization of 40906

Prime Factorization of 40924

Now multiplying the highest exponent prime factors to calculate the LCM of 40906 and 40924.

LCM(40906,40924) = 2² × 113¹ × 181¹ × 13¹ × 787¹
LCM(40906,40924) = 837018572