What is the Least Common Multiple of 54520 and 54538?

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 54520 and 54538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54520 and 54538, than apply into the LCM equation.

GCF(54520,54538) = 2
LCM(54520,54538) = ( 54520 × 54538) / 2
LCM(54520,54538) = 2973411760 / 2
LCM(54520,54538) = 1486705880

Least Common Multiple (LCM) of 54520 and 54538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54520 and 54538. First we will calculate the prime factors of 54520 and 54538.

Prime Factorization of 54520

Prime Factorization of 54538

Now multiplying the highest exponent prime factors to calculate the LCM of 54520 and 54538.

LCM(54520,54538) = 2³ × 5¹ × 29¹ × 47¹ × 11¹ × 37¹ × 67¹
LCM(54520,54538) = 1486705880