What is the Least Common Multiple of 88816 and 88834?

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 88816 and 88834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88816 and 88834, than apply into the LCM equation.

GCF(88816,88834) = 2
LCM(88816,88834) = ( 88816 × 88834) / 2
LCM(88816,88834) = 7889880544 / 2
LCM(88816,88834) = 3944940272

Least Common Multiple (LCM) of 88816 and 88834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88816 and 88834. First we will calculate the prime factors of 88816 and 88834.

Prime Factorization of 88816

Prime Factorization of 88834

Now multiplying the highest exponent prime factors to calculate the LCM of 88816 and 88834.

LCM(88816,88834) = 2⁴ × 7¹ × 13¹ × 61¹ × 44417¹
LCM(88816,88834) = 3944940272