What is the Least Common Multiple of 87824 and 87834?

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 87834 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 87834, than apply into the LCM equation.

GCF(87824,87834) = 2
LCM(87824,87834) = ( 87824 × 87834) / 2
LCM(87824,87834) = 7713933216 / 2
LCM(87824,87834) = 3856966608

Least Common Multiple (LCM) of 87824 and 87834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87824 and 87834. First we will calculate the prime factors of 87824 and 87834.

Prime Factorization of 87824

Prime Factorization of 87834

Now multiplying the highest exponent prime factors to calculate the LCM of 87824 and 87834.

LCM(87824,87834) = 2⁴ × 11¹ × 499¹ × 3¹ × 14639¹
LCM(87824,87834) = 3856966608