What is the Least Common Multiple of 75258 and 75277?

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 75258 and 75277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75258 and 75277, than apply into the LCM equation.

GCF(75258,75277) = 1
LCM(75258,75277) = ( 75258 × 75277) / 1
LCM(75258,75277) = 5665196466 / 1
LCM(75258,75277) = 5665196466

Least Common Multiple (LCM) of 75258 and 75277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75258 and 75277. First we will calculate the prime factors of 75258 and 75277.

Prime Factorization of 75258

Prime Factorization of 75277

Now multiplying the highest exponent prime factors to calculate the LCM of 75258 and 75277.

LCM(75258,75277) = 2¹ × 3² × 37¹ × 113¹ × 75277¹
LCM(75258,75277) = 5665196466