What is the Least Common Multiple of 75892 and 75905?

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 75892 and 75905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75892 and 75905, than apply into the LCM equation.

GCF(75892,75905) = 1
LCM(75892,75905) = ( 75892 × 75905) / 1
LCM(75892,75905) = 5760582260 / 1
LCM(75892,75905) = 5760582260

Least Common Multiple (LCM) of 75892 and 75905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75892 and 75905. First we will calculate the prime factors of 75892 and 75905.

Prime Factorization of 75892

Prime Factorization of 75905

Now multiplying the highest exponent prime factors to calculate the LCM of 75892 and 75905.

LCM(75892,75905) = 2² × 18973¹ × 5¹ × 17¹ × 19¹ × 47¹
LCM(75892,75905) = 5760582260