What is the Least Common Multiple of 40917 and 40930?

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 40917 and 40930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40917 and 40930, than apply into the LCM equation.

GCF(40917,40930) = 1
LCM(40917,40930) = ( 40917 × 40930) / 1
LCM(40917,40930) = 1674732810 / 1
LCM(40917,40930) = 1674732810

Least Common Multiple (LCM) of 40917 and 40930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40917 and 40930. First we will calculate the prime factors of 40917 and 40930.

Prime Factorization of 40917

Prime Factorization of 40930

Now multiplying the highest exponent prime factors to calculate the LCM of 40917 and 40930.

LCM(40917,40930) = 3¹ × 23¹ × 593¹ × 2¹ × 5¹ × 4093¹
LCM(40917,40930) = 1674732810