What is the Least Common Multiple of 88768 and 88774?

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 88768 and 88774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88768 and 88774, than apply into the LCM equation.

GCF(88768,88774) = 2
LCM(88768,88774) = ( 88768 × 88774) / 2
LCM(88768,88774) = 7880290432 / 2
LCM(88768,88774) = 3940145216

Least Common Multiple (LCM) of 88768 and 88774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88768 and 88774. First we will calculate the prime factors of 88768 and 88774.

Prime Factorization of 88768

Prime Factorization of 88774

Now multiplying the highest exponent prime factors to calculate the LCM of 88768 and 88774.

LCM(88768,88774) = 2⁶ × 19¹ × 73¹ × 7¹ × 17¹ × 373¹
LCM(88768,88774) = 3940145216