What is the Least Common Multiple of 87258 and 87273?

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 87258 and 87273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87258 and 87273, than apply into the LCM equation.

GCF(87258,87273) = 3
LCM(87258,87273) = ( 87258 × 87273) / 3
LCM(87258,87273) = 7615267434 / 3
LCM(87258,87273) = 2538422478

Least Common Multiple (LCM) of 87258 and 87273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87258 and 87273. First we will calculate the prime factors of 87258 and 87273.

Prime Factorization of 87258

Prime Factorization of 87273

Now multiplying the highest exponent prime factors to calculate the LCM of 87258 and 87273.

LCM(87258,87273) = 2¹ × 3² × 14543¹ × 9697¹
LCM(87258,87273) = 2538422478