What is the Least Common Multiple of 24561 and 24570?

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 24561 and 24570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24561 and 24570, than apply into the LCM equation.

GCF(24561,24570) = 9
LCM(24561,24570) = ( 24561 × 24570) / 9
LCM(24561,24570) = 603463770 / 9
LCM(24561,24570) = 67051530

Least Common Multiple (LCM) of 24561 and 24570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24561 and 24570. First we will calculate the prime factors of 24561 and 24570.

Prime Factorization of 24561

Prime Factorization of 24570

Now multiplying the highest exponent prime factors to calculate the LCM of 24561 and 24570.

LCM(24561,24570) = 3³ × 2729¹ × 2¹ × 5¹ × 7¹ × 13¹
LCM(24561,24570) = 67051530