What is the Least Common Multiple of 24578 and 24596?

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 24578 and 24596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24578 and 24596, than apply into the LCM equation.

GCF(24578,24596) = 2
LCM(24578,24596) = ( 24578 × 24596) / 2
LCM(24578,24596) = 604520488 / 2
LCM(24578,24596) = 302260244

Least Common Multiple (LCM) of 24578 and 24596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24578 and 24596. First we will calculate the prime factors of 24578 and 24596.

Prime Factorization of 24578

Prime Factorization of 24596

Now multiplying the highest exponent prime factors to calculate the LCM of 24578 and 24596.

LCM(24578,24596) = 2² × 12289¹ × 11¹ × 13¹ × 43¹
LCM(24578,24596) = 302260244