What is the Least Common Multiple of 62023 and 62041?

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 62023 and 62041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62023 and 62041, than apply into the LCM equation.

GCF(62023,62041) = 1
LCM(62023,62041) = ( 62023 × 62041) / 1
LCM(62023,62041) = 3847968943 / 1
LCM(62023,62041) = 3847968943

Least Common Multiple (LCM) of 62023 and 62041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62023 and 62041. First we will calculate the prime factors of 62023 and 62041.

Prime Factorization of 62023

Prime Factorization of 62041

Now multiplying the highest exponent prime factors to calculate the LCM of 62023 and 62041.

LCM(62023,62041) = 13² × 367¹ × 7¹ × 8863¹
LCM(62023,62041) = 3847968943