What is the Least Common Multiple of 66549 and 66561?

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 66549 and 66561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66549 and 66561, than apply into the LCM equation.

GCF(66549,66561) = 3
LCM(66549,66561) = ( 66549 × 66561) / 3
LCM(66549,66561) = 4429567989 / 3
LCM(66549,66561) = 1476522663

Least Common Multiple (LCM) of 66549 and 66561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66549 and 66561. First we will calculate the prime factors of 66549 and 66561.

Prime Factorization of 66549

Prime Factorization of 66561

Now multiplying the highest exponent prime factors to calculate the LCM of 66549 and 66561.

LCM(66549,66561) = 3¹ × 7¹ × 3169¹ × 11¹ × 2017¹
LCM(66549,66561) = 1476522663