What is the Least Common Multiple of 87254 and 87272?

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 87254 and 87272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87254 and 87272, than apply into the LCM equation.

GCF(87254,87272) = 2
LCM(87254,87272) = ( 87254 × 87272) / 2
LCM(87254,87272) = 7614831088 / 2
LCM(87254,87272) = 3807415544

Least Common Multiple (LCM) of 87254 and 87272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87254 and 87272. First we will calculate the prime factors of 87254 and 87272.

Prime Factorization of 87254

Prime Factorization of 87272

Now multiplying the highest exponent prime factors to calculate the LCM of 87254 and 87272.

LCM(87254,87272) = 2³ × 43627¹ × 10909¹
LCM(87254,87272) = 3807415544