What is the Least Common Multiple of 75239 and 75258?

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 75239 and 75258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75239 and 75258, than apply into the LCM equation.

GCF(75239,75258) = 1
LCM(75239,75258) = ( 75239 × 75258) / 1
LCM(75239,75258) = 5662336662 / 1
LCM(75239,75258) = 5662336662

Least Common Multiple (LCM) of 75239 and 75258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75239 and 75258. First we will calculate the prime factors of 75239 and 75258.

Prime Factorization of 75239

Prime Factorization of 75258

Now multiplying the highest exponent prime factors to calculate the LCM of 75239 and 75258.

LCM(75239,75258) = 75239¹ × 2¹ × 3² × 37¹ × 113¹
LCM(75239,75258) = 5662336662