What is the Least Common Multiple of 78023 and 78041?

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 78023 and 78041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78023 and 78041, than apply into the LCM equation.

GCF(78023,78041) = 1
LCM(78023,78041) = ( 78023 × 78041) / 1
LCM(78023,78041) = 6088992943 / 1
LCM(78023,78041) = 6088992943

Least Common Multiple (LCM) of 78023 and 78041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78023 and 78041. First we will calculate the prime factors of 78023 and 78041.

Prime Factorization of 78023

Prime Factorization of 78041

Now multiplying the highest exponent prime factors to calculate the LCM of 78023 and 78041.

LCM(78023,78041) = 11¹ × 41¹ × 173¹ × 78041¹
LCM(78023,78041) = 6088992943