What is the Least Common Multiple of 43626 and 43644?

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 43626 and 43644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43626 and 43644, than apply into the LCM equation.

GCF(43626,43644) = 6
LCM(43626,43644) = ( 43626 × 43644) / 6
LCM(43626,43644) = 1904013144 / 6
LCM(43626,43644) = 317335524

Least Common Multiple (LCM) of 43626 and 43644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43626 and 43644. First we will calculate the prime factors of 43626 and 43644.

Prime Factorization of 43626

Prime Factorization of 43644

Now multiplying the highest exponent prime factors to calculate the LCM of 43626 and 43644.

LCM(43626,43644) = 2² × 3¹ × 11¹ × 661¹ × 3637¹
LCM(43626,43644) = 317335524