What is the Least Common Multiple of 48540 and 48544?

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 48540 and 48544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48540 and 48544, than apply into the LCM equation.

GCF(48540,48544) = 4
LCM(48540,48544) = ( 48540 × 48544) / 4
LCM(48540,48544) = 2356325760 / 4
LCM(48540,48544) = 589081440

Least Common Multiple (LCM) of 48540 and 48544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48540 and 48544. First we will calculate the prime factors of 48540 and 48544.

Prime Factorization of 48540

Prime Factorization of 48544

Now multiplying the highest exponent prime factors to calculate the LCM of 48540 and 48544.

LCM(48540,48544) = 2⁵ × 3¹ × 5¹ × 809¹ × 37¹ × 41¹
LCM(48540,48544) = 589081440