What is the Least Common Multiple of 87248 and 87262?

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 87248 and 87262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87248 and 87262, than apply into the LCM equation.

GCF(87248,87262) = 14
LCM(87248,87262) = ( 87248 × 87262) / 14
LCM(87248,87262) = 7613434976 / 14
LCM(87248,87262) = 543816784

Least Common Multiple (LCM) of 87248 and 87262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87248 and 87262. First we will calculate the prime factors of 87248 and 87262.

Prime Factorization of 87248

Prime Factorization of 87262

Now multiplying the highest exponent prime factors to calculate the LCM of 87248 and 87262.

LCM(87248,87262) = 2⁴ × 7¹ × 19¹ × 41¹ × 23¹ × 271¹
LCM(87248,87262) = 543816784