What is the Least Common Multiple of 88296 and 88300?

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 88296 and 88300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88296 and 88300, than apply into the LCM equation.

GCF(88296,88300) = 4
LCM(88296,88300) = ( 88296 × 88300) / 4
LCM(88296,88300) = 7796536800 / 4
LCM(88296,88300) = 1949134200

Least Common Multiple (LCM) of 88296 and 88300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88296 and 88300. First we will calculate the prime factors of 88296 and 88300.

Prime Factorization of 88296

Prime Factorization of 88300

Now multiplying the highest exponent prime factors to calculate the LCM of 88296 and 88300.

LCM(88296,88300) = 2³ × 3¹ × 13¹ × 283¹ × 5² × 883¹
LCM(88296,88300) = 1949134200