What is the Least Common Multiple of 54510 and 54525?

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 54510 and 54525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54510 and 54525, than apply into the LCM equation.

GCF(54510,54525) = 15
LCM(54510,54525) = ( 54510 × 54525) / 15
LCM(54510,54525) = 2972157750 / 15
LCM(54510,54525) = 198143850

Least Common Multiple (LCM) of 54510 and 54525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54510 and 54525. First we will calculate the prime factors of 54510 and 54525.

Prime Factorization of 54510

Prime Factorization of 54525

Now multiplying the highest exponent prime factors to calculate the LCM of 54510 and 54525.

LCM(54510,54525) = 2¹ × 3¹ × 5² × 23¹ × 79¹ × 727¹
LCM(54510,54525) = 198143850