What is the Least Common Multiple of 87240 and 87248?

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 87240 and 87248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87240 and 87248, than apply into the LCM equation.

GCF(87240,87248) = 8
LCM(87240,87248) = ( 87240 × 87248) / 8
LCM(87240,87248) = 7611515520 / 8
LCM(87240,87248) = 951439440

Least Common Multiple (LCM) of 87240 and 87248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87240 and 87248. First we will calculate the prime factors of 87240 and 87248.

Prime Factorization of 87240

Prime Factorization of 87248

Now multiplying the highest exponent prime factors to calculate the LCM of 87240 and 87248.

LCM(87240,87248) = 2⁴ × 3¹ × 5¹ × 727¹ × 7¹ × 19¹ × 41¹
LCM(87240,87248) = 951439440