What is the Least Common Multiple of 24544 and 24557?

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 24544 and 24557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24544 and 24557, than apply into the LCM equation.

GCF(24544,24557) = 13
LCM(24544,24557) = ( 24544 × 24557) / 13
LCM(24544,24557) = 602727008 / 13
LCM(24544,24557) = 46363616

Least Common Multiple (LCM) of 24544 and 24557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24544 and 24557. First we will calculate the prime factors of 24544 and 24557.

Prime Factorization of 24544

Prime Factorization of 24557

Now multiplying the highest exponent prime factors to calculate the LCM of 24544 and 24557.

LCM(24544,24557) = 2⁵ × 13¹ × 59¹ × 1889¹
LCM(24544,24557) = 46363616