What is the Least Common Multiple of 43284 and 43300?

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 43284 and 43300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43284 and 43300, than apply into the LCM equation.

GCF(43284,43300) = 4
LCM(43284,43300) = ( 43284 × 43300) / 4
LCM(43284,43300) = 1874197200 / 4
LCM(43284,43300) = 468549300

Least Common Multiple (LCM) of 43284 and 43300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43284 and 43300. First we will calculate the prime factors of 43284 and 43300.

Prime Factorization of 43284

Prime Factorization of 43300

Now multiplying the highest exponent prime factors to calculate the LCM of 43284 and 43300.

LCM(43284,43300) = 2² × 3¹ × 3607¹ × 5² × 433¹
LCM(43284,43300) = 468549300