What is the Least Common Multiple of 54516 and 54534?

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 54534 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 54534, than apply into the LCM equation.

GCF(54516,54534) = 6
LCM(54516,54534) = ( 54516 × 54534) / 6
LCM(54516,54534) = 2972975544 / 6
LCM(54516,54534) = 495495924

Least Common Multiple (LCM) of 54516 and 54534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54516 and 54534. First we will calculate the prime factors of 54516 and 54534.

Prime Factorization of 54516

Prime Factorization of 54534

Now multiplying the highest exponent prime factors to calculate the LCM of 54516 and 54534.

LCM(54516,54534) = 2² × 3¹ × 7¹ × 11¹ × 59¹ × 61¹ × 149¹
LCM(54516,54534) = 495495924