What is the Least Common Multiple of 52480 and 52490?

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 52480 and 52490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52480 and 52490, than apply into the LCM equation.

GCF(52480,52490) = 10
LCM(52480,52490) = ( 52480 × 52490) / 10
LCM(52480,52490) = 2754675200 / 10
LCM(52480,52490) = 275467520

Least Common Multiple (LCM) of 52480 and 52490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52480 and 52490. First we will calculate the prime factors of 52480 and 52490.

Prime Factorization of 52480

Prime Factorization of 52490

Now multiplying the highest exponent prime factors to calculate the LCM of 52480 and 52490.

LCM(52480,52490) = 2⁸ × 5¹ × 41¹ × 29¹ × 181¹
LCM(52480,52490) = 275467520