What is the Least Common Multiple of 87809 and 87824?

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 87809 and 87824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87809 and 87824, than apply into the LCM equation.

GCF(87809,87824) = 1
LCM(87809,87824) = ( 87809 × 87824) / 1
LCM(87809,87824) = 7711737616 / 1
LCM(87809,87824) = 7711737616

Least Common Multiple (LCM) of 87809 and 87824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87809 and 87824. First we will calculate the prime factors of 87809 and 87824.

Prime Factorization of 87809

Prime Factorization of 87824

Now multiplying the highest exponent prime factors to calculate the LCM of 87809 and 87824.

LCM(87809,87824) = 277¹ × 317¹ × 2⁴ × 11¹ × 499¹
LCM(87809,87824) = 7711737616