What is the Least Common Multiple of 66546 and 66552?

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 66546 and 66552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66546 and 66552, than apply into the LCM equation.

GCF(66546,66552) = 6
LCM(66546,66552) = ( 66546 × 66552) / 6
LCM(66546,66552) = 4428769392 / 6
LCM(66546,66552) = 738128232

Least Common Multiple (LCM) of 66546 and 66552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66546 and 66552. First we will calculate the prime factors of 66546 and 66552.

Prime Factorization of 66546

Prime Factorization of 66552

Now multiplying the highest exponent prime factors to calculate the LCM of 66546 and 66552.

LCM(66546,66552) = 2³ × 3² × 3697¹ × 47¹ × 59¹
LCM(66546,66552) = 738128232