What is the Least Common Multiple of 87234 and 87254?

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 87234 and 87254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87234 and 87254, than apply into the LCM equation.

GCF(87234,87254) = 2
LCM(87234,87254) = ( 87234 × 87254) / 2
LCM(87234,87254) = 7611515436 / 2
LCM(87234,87254) = 3805757718

Least Common Multiple (LCM) of 87234 and 87254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87234 and 87254. First we will calculate the prime factors of 87234 and 87254.

Prime Factorization of 87234

Prime Factorization of 87254

Now multiplying the highest exponent prime factors to calculate the LCM of 87234 and 87254.

LCM(87234,87254) = 2¹ × 3¹ × 7¹ × 31¹ × 67¹ × 43627¹
LCM(87234,87254) = 3805757718