What is the Least Common Multiple of 88300 and 88304?

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 88300 and 88304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88300 and 88304, than apply into the LCM equation.

GCF(88300,88304) = 4
LCM(88300,88304) = ( 88300 × 88304) / 4
LCM(88300,88304) = 7797243200 / 4
LCM(88300,88304) = 1949310800

Least Common Multiple (LCM) of 88300 and 88304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88300 and 88304. First we will calculate the prime factors of 88300 and 88304.

Prime Factorization of 88300

Prime Factorization of 88304

Now multiplying the highest exponent prime factors to calculate the LCM of 88300 and 88304.

LCM(88300,88304) = 2⁴ × 5² × 883¹ × 5519¹
LCM(88300,88304) = 1949310800