What is the Least Common Multiple of 43596 and 43600?

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 43596 and 43600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43596 and 43600, than apply into the LCM equation.

GCF(43596,43600) = 4
LCM(43596,43600) = ( 43596 × 43600) / 4
LCM(43596,43600) = 1900785600 / 4
LCM(43596,43600) = 475196400

Least Common Multiple (LCM) of 43596 and 43600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43596 and 43600. First we will calculate the prime factors of 43596 and 43600.

Prime Factorization of 43596

Prime Factorization of 43600

Now multiplying the highest exponent prime factors to calculate the LCM of 43596 and 43600.

LCM(43596,43600) = 2⁴ × 3² × 7¹ × 173¹ × 5² × 109¹
LCM(43596,43600) = 475196400