What is the Least Common Multiple of 66546 and 66556?

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 66556 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 66556, than apply into the LCM equation.

GCF(66546,66556) = 2
LCM(66546,66556) = ( 66546 × 66556) / 2
LCM(66546,66556) = 4429035576 / 2
LCM(66546,66556) = 2214517788

Least Common Multiple (LCM) of 66546 and 66556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66546 and 66556. First we will calculate the prime factors of 66546 and 66556.

Prime Factorization of 66546

Prime Factorization of 66556

Now multiplying the highest exponent prime factors to calculate the LCM of 66546 and 66556.

LCM(66546,66556) = 2² × 3² × 3697¹ × 7¹ × 2377¹
LCM(66546,66556) = 2214517788