What is the Least Common Multiple of 66548 and 66564?

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 66548 and 66564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66548 and 66564, than apply into the LCM equation.

GCF(66548,66564) = 4
LCM(66548,66564) = ( 66548 × 66564) / 4
LCM(66548,66564) = 4429701072 / 4
LCM(66548,66564) = 1107425268

Least Common Multiple (LCM) of 66548 and 66564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66548 and 66564. First we will calculate the prime factors of 66548 and 66564.

Prime Factorization of 66548

Prime Factorization of 66564

Now multiplying the highest exponent prime factors to calculate the LCM of 66548 and 66564.

LCM(66548,66564) = 2² × 127¹ × 131¹ × 3² × 43²
LCM(66548,66564) = 1107425268