What is the Least Common Multiple of 87485 and 87496?

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 87485 and 87496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87485 and 87496, than apply into the LCM equation.

GCF(87485,87496) = 1
LCM(87485,87496) = ( 87485 × 87496) / 1
LCM(87485,87496) = 7654587560 / 1
LCM(87485,87496) = 7654587560

Least Common Multiple (LCM) of 87485 and 87496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87485 and 87496. First we will calculate the prime factors of 87485 and 87496.

Prime Factorization of 87485

Prime Factorization of 87496

Now multiplying the highest exponent prime factors to calculate the LCM of 87485 and 87496.

LCM(87485,87496) = 5¹ × 17497¹ × 2³ × 10937¹
LCM(87485,87496) = 7654587560