What is the Least Common Multiple of 40898 and 40906?

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 40898 and 40906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40898 and 40906, than apply into the LCM equation.

GCF(40898,40906) = 2
LCM(40898,40906) = ( 40898 × 40906) / 2
LCM(40898,40906) = 1672973588 / 2
LCM(40898,40906) = 836486794

Least Common Multiple (LCM) of 40898 and 40906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40898 and 40906. First we will calculate the prime factors of 40898 and 40906.

Prime Factorization of 40898

Prime Factorization of 40906

Now multiplying the highest exponent prime factors to calculate the LCM of 40898 and 40906.

LCM(40898,40906) = 2¹ × 11² × 13² × 113¹ × 181¹
LCM(40898,40906) = 836486794