What is the Least Common Multiple of 27296 and 27300?

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 27296 and 27300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27296 and 27300, than apply into the LCM equation.

GCF(27296,27300) = 4
LCM(27296,27300) = ( 27296 × 27300) / 4
LCM(27296,27300) = 745180800 / 4
LCM(27296,27300) = 186295200

Least Common Multiple (LCM) of 27296 and 27300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27296 and 27300. First we will calculate the prime factors of 27296 and 27300.

Prime Factorization of 27296

Prime Factorization of 27300

Now multiplying the highest exponent prime factors to calculate the LCM of 27296 and 27300.

LCM(27296,27300) = 2⁵ × 853¹ × 3¹ × 5² × 7¹ × 13¹
LCM(27296,27300) = 186295200