What is the Least Common Multiple of 24540 and 24544?

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 24540 and 24544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24540 and 24544, than apply into the LCM equation.

GCF(24540,24544) = 4
LCM(24540,24544) = ( 24540 × 24544) / 4
LCM(24540,24544) = 602309760 / 4
LCM(24540,24544) = 150577440

Least Common Multiple (LCM) of 24540 and 24544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24540 and 24544. First we will calculate the prime factors of 24540 and 24544.

Prime Factorization of 24540

Prime Factorization of 24544

Now multiplying the highest exponent prime factors to calculate the LCM of 24540 and 24544.

LCM(24540,24544) = 2⁵ × 3¹ × 5¹ × 409¹ × 13¹ × 59¹
LCM(24540,24544) = 150577440