What is the Least Common Multiple of 54530 and 54544?

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 54530 and 54544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54530 and 54544, than apply into the LCM equation.

GCF(54530,54544) = 14
LCM(54530,54544) = ( 54530 × 54544) / 14
LCM(54530,54544) = 2974284320 / 14
LCM(54530,54544) = 212448880

Least Common Multiple (LCM) of 54530 and 54544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54530 and 54544. First we will calculate the prime factors of 54530 and 54544.

Prime Factorization of 54530

Prime Factorization of 54544

Now multiplying the highest exponent prime factors to calculate the LCM of 54530 and 54544.

LCM(54530,54544) = 2⁴ × 5¹ × 7¹ × 19¹ × 41¹ × 487¹
LCM(54530,54544) = 212448880