What is the Least Common Multiple of 54516 and 54530?

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 54516 and 54530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54516 and 54530, than apply into the LCM equation.

GCF(54516,54530) = 14
LCM(54516,54530) = ( 54516 × 54530) / 14
LCM(54516,54530) = 2972757480 / 14
LCM(54516,54530) = 212339820

Least Common Multiple (LCM) of 54516 and 54530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54516 and 54530. First we will calculate the prime factors of 54516 and 54530.

Prime Factorization of 54516

Prime Factorization of 54530

Now multiplying the highest exponent prime factors to calculate the LCM of 54516 and 54530.

LCM(54516,54530) = 2² × 3¹ × 7¹ × 11¹ × 59¹ × 5¹ × 19¹ × 41¹
LCM(54516,54530) = 212339820