What is the Least Common Multiple of 5022 and 5041?

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 5022 and 5041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5022 and 5041, than apply into the LCM equation.

GCF(5022,5041) = 1
LCM(5022,5041) = ( 5022 × 5041) / 1
LCM(5022,5041) = 25315902 / 1
LCM(5022,5041) = 25315902

Least Common Multiple (LCM) of 5022 and 5041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5022 and 5041. First we will calculate the prime factors of 5022 and 5041.

Prime Factorization of 5022

Prime Factorization of 5041

Now multiplying the highest exponent prime factors to calculate the LCM of 5022 and 5041.

LCM(5022,5041) = 2¹ × 3⁴ × 31¹ × 71²
LCM(5022,5041) = 25315902