What is the Least Common Multiple of 75905 and 75923?

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 75905 and 75923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75905 and 75923, than apply into the LCM equation.

GCF(75905,75923) = 1
LCM(75905,75923) = ( 75905 × 75923) / 1
LCM(75905,75923) = 5762935315 / 1
LCM(75905,75923) = 5762935315

Least Common Multiple (LCM) of 75905 and 75923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75905 and 75923. First we will calculate the prime factors of 75905 and 75923.

Prime Factorization of 75905

Prime Factorization of 75923

Now multiplying the highest exponent prime factors to calculate the LCM of 75905 and 75923.

LCM(75905,75923) = 5¹ × 17¹ × 19¹ × 47¹ × 23¹ × 3301¹
LCM(75905,75923) = 5762935315