What is the Least Common Multiple of 87216 and 87234?

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 87216 and 87234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87216 and 87234, than apply into the LCM equation.

GCF(87216,87234) = 6
LCM(87216,87234) = ( 87216 × 87234) / 6
LCM(87216,87234) = 7608200544 / 6
LCM(87216,87234) = 1268033424

Least Common Multiple (LCM) of 87216 and 87234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87216 and 87234. First we will calculate the prime factors of 87216 and 87234.

Prime Factorization of 87216

Prime Factorization of 87234

Now multiplying the highest exponent prime factors to calculate the LCM of 87216 and 87234.

LCM(87216,87234) = 2⁴ × 3¹ × 23¹ × 79¹ × 7¹ × 31¹ × 67¹
LCM(87216,87234) = 1268033424