What is the Least Common Multiple of 24640 and 24654?

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 24640 and 24654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24640 and 24654, than apply into the LCM equation.

GCF(24640,24654) = 14
LCM(24640,24654) = ( 24640 × 24654) / 14
LCM(24640,24654) = 607474560 / 14
LCM(24640,24654) = 43391040

Least Common Multiple (LCM) of 24640 and 24654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24640 and 24654. First we will calculate the prime factors of 24640 and 24654.

Prime Factorization of 24640

Prime Factorization of 24654

Now multiplying the highest exponent prime factors to calculate the LCM of 24640 and 24654.

LCM(24640,24654) = 2⁶ × 5¹ × 7¹ × 11¹ × 3¹ × 587¹
LCM(24640,24654) = 43391040