What is the Least Common Multiple of 75374 and 75379?

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 75374 and 75379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75374 and 75379, than apply into the LCM equation.

GCF(75374,75379) = 1
LCM(75374,75379) = ( 75374 × 75379) / 1
LCM(75374,75379) = 5681616746 / 1
LCM(75374,75379) = 5681616746

Least Common Multiple (LCM) of 75374 and 75379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75374 and 75379. First we will calculate the prime factors of 75374 and 75379.

Prime Factorization of 75374

Prime Factorization of 75379

Now multiplying the highest exponent prime factors to calculate the LCM of 75374 and 75379.

LCM(75374,75379) = 2¹ × 13² × 223¹ × 43¹ × 1753¹
LCM(75374,75379) = 5681616746