What is the Least Common Multiple of 43664 and 43668?

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 43664 and 43668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43664 and 43668, than apply into the LCM equation.

GCF(43664,43668) = 4
LCM(43664,43668) = ( 43664 × 43668) / 4
LCM(43664,43668) = 1906719552 / 4
LCM(43664,43668) = 476679888

Least Common Multiple (LCM) of 43664 and 43668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43664 and 43668. First we will calculate the prime factors of 43664 and 43668.

Prime Factorization of 43664

Prime Factorization of 43668

Now multiplying the highest exponent prime factors to calculate the LCM of 43664 and 43668.

LCM(43664,43668) = 2⁴ × 2729¹ × 3² × 1213¹
LCM(43664,43668) = 476679888