What is the Least Common Multiple of 88284 and 88296?

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 88284 and 88296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88284 and 88296, than apply into the LCM equation.

GCF(88284,88296) = 12
LCM(88284,88296) = ( 88284 × 88296) / 12
LCM(88284,88296) = 7795124064 / 12
LCM(88284,88296) = 649593672

Least Common Multiple (LCM) of 88284 and 88296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88284 and 88296. First we will calculate the prime factors of 88284 and 88296.

Prime Factorization of 88284

Prime Factorization of 88296

Now multiplying the highest exponent prime factors to calculate the LCM of 88284 and 88296.

LCM(88284,88296) = 2³ × 3¹ × 7¹ × 1051¹ × 13¹ × 283¹
LCM(88284,88296) = 649593672