What is the Least Common Multiple of 78325 and 78341?

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 78325 and 78341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78325 and 78341, than apply into the LCM equation.

GCF(78325,78341) = 1
LCM(78325,78341) = ( 78325 × 78341) / 1
LCM(78325,78341) = 6136058825 / 1
LCM(78325,78341) = 6136058825

Least Common Multiple (LCM) of 78325 and 78341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78325 and 78341. First we will calculate the prime factors of 78325 and 78341.

Prime Factorization of 78325

Prime Factorization of 78341

Now multiplying the highest exponent prime factors to calculate the LCM of 78325 and 78341.

LCM(78325,78341) = 5² × 13¹ × 241¹ × 78341¹
LCM(78325,78341) = 6136058825