What is the Least Common Multiple of 74023 and 74041?

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 74023 and 74041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74023 and 74041, than apply into the LCM equation.

GCF(74023,74041) = 1
LCM(74023,74041) = ( 74023 × 74041) / 1
LCM(74023,74041) = 5480736943 / 1
LCM(74023,74041) = 5480736943

Least Common Multiple (LCM) of 74023 and 74041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74023 and 74041. First we will calculate the prime factors of 74023 and 74041.

Prime Factorization of 74023

Prime Factorization of 74041

Now multiplying the highest exponent prime factors to calculate the LCM of 74023 and 74041.

LCM(74023,74041) = 79¹ × 937¹ × 11¹ × 53¹ × 127¹
LCM(74023,74041) = 5480736943