What is the Least Common Multiple of 87824 and 87840?

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 87824 and 87840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87824 and 87840, than apply into the LCM equation.

GCF(87824,87840) = 16
LCM(87824,87840) = ( 87824 × 87840) / 16
LCM(87824,87840) = 7714460160 / 16
LCM(87824,87840) = 482153760

Least Common Multiple (LCM) of 87824 and 87840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87824 and 87840. First we will calculate the prime factors of 87824 and 87840.

Prime Factorization of 87824

Prime Factorization of 87840

Now multiplying the highest exponent prime factors to calculate the LCM of 87824 and 87840.

LCM(87824,87840) = 2⁵ × 11¹ × 499¹ × 3² × 5¹ × 61¹
LCM(87824,87840) = 482153760