What is the Least Common Multiple of 87250 and 87266?

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 87250 and 87266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87250 and 87266, than apply into the LCM equation.

GCF(87250,87266) = 2
LCM(87250,87266) = ( 87250 × 87266) / 2
LCM(87250,87266) = 7613958500 / 2
LCM(87250,87266) = 3806979250

Least Common Multiple (LCM) of 87250 and 87266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87250 and 87266. First we will calculate the prime factors of 87250 and 87266.

Prime Factorization of 87250

Prime Factorization of 87266

Now multiplying the highest exponent prime factors to calculate the LCM of 87250 and 87266.

LCM(87250,87266) = 2¹ × 5³ × 349¹ × 43633¹
LCM(87250,87266) = 3806979250