What is the Least Common Multiple of 54509 and 54524?

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 54509 and 54524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54509 and 54524, than apply into the LCM equation.

GCF(54509,54524) = 1
LCM(54509,54524) = ( 54509 × 54524) / 1
LCM(54509,54524) = 2972048716 / 1
LCM(54509,54524) = 2972048716

Least Common Multiple (LCM) of 54509 and 54524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54509 and 54524. First we will calculate the prime factors of 54509 and 54524.

Prime Factorization of 54509

Prime Factorization of 54524

Now multiplying the highest exponent prime factors to calculate the LCM of 54509 and 54524.

LCM(54509,54524) = 7¹ × 13¹ × 599¹ × 2² × 43¹ × 317¹
LCM(54509,54524) = 2972048716