What is the Least Common Multiple of 66538 and 66546?

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 66538 and 66546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66538 and 66546, than apply into the LCM equation.

GCF(66538,66546) = 2
LCM(66538,66546) = ( 66538 × 66546) / 2
LCM(66538,66546) = 4427837748 / 2
LCM(66538,66546) = 2213918874

Least Common Multiple (LCM) of 66538 and 66546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66538 and 66546. First we will calculate the prime factors of 66538 and 66546.

Prime Factorization of 66538

Prime Factorization of 66546

Now multiplying the highest exponent prime factors to calculate the LCM of 66538 and 66546.

LCM(66538,66546) = 2¹ × 17¹ × 19¹ × 103¹ × 3² × 3697¹
LCM(66538,66546) = 2213918874