What is the Least Common Multiple of 87431 and 87448?

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 87431 and 87448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87431 and 87448, than apply into the LCM equation.

GCF(87431,87448) = 17
LCM(87431,87448) = ( 87431 × 87448) / 17
LCM(87431,87448) = 7645666088 / 17
LCM(87431,87448) = 449745064

Least Common Multiple (LCM) of 87431 and 87448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87431 and 87448. First we will calculate the prime factors of 87431 and 87448.

Prime Factorization of 87431

Prime Factorization of 87448

Now multiplying the highest exponent prime factors to calculate the LCM of 87431 and 87448.

LCM(87431,87448) = 17¹ × 37¹ × 139¹ × 2³ × 643¹
LCM(87431,87448) = 449745064