What is the Least Common Multiple of 41902 and 41909?

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 41902 and 41909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41902 and 41909, than apply into the LCM equation.

GCF(41902,41909) = 7
LCM(41902,41909) = ( 41902 × 41909) / 7
LCM(41902,41909) = 1756070918 / 7
LCM(41902,41909) = 250867274

Least Common Multiple (LCM) of 41902 and 41909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41902 and 41909. First we will calculate the prime factors of 41902 and 41909.

Prime Factorization of 41902

Prime Factorization of 41909

Now multiplying the highest exponent prime factors to calculate the LCM of 41902 and 41909.

LCM(41902,41909) = 2¹ × 7¹ × 41¹ × 73¹ × 5987¹
LCM(41902,41909) = 250867274