What is the Least Common Multiple of 60549 and 60555?

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 60549 and 60555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60549 and 60555, than apply into the LCM equation.

GCF(60549,60555) = 3
LCM(60549,60555) = ( 60549 × 60555) / 3
LCM(60549,60555) = 3666544695 / 3
LCM(60549,60555) = 1222181565

Least Common Multiple (LCM) of 60549 and 60555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60549 and 60555. First we will calculate the prime factors of 60549 and 60555.

Prime Factorization of 60549

Prime Factorization of 60555

Now multiplying the highest exponent prime factors to calculate the LCM of 60549 and 60555.

LCM(60549,60555) = 3¹ × 20183¹ × 5¹ × 11¹ × 367¹
LCM(60549,60555) = 1222181565