What is the Least Common Multiple of 24850 and 24864?

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 24850 and 24864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24850 and 24864, than apply into the LCM equation.

GCF(24850,24864) = 14
LCM(24850,24864) = ( 24850 × 24864) / 14
LCM(24850,24864) = 617870400 / 14
LCM(24850,24864) = 44133600

Least Common Multiple (LCM) of 24850 and 24864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24850 and 24864. First we will calculate the prime factors of 24850 and 24864.

Prime Factorization of 24850

Prime Factorization of 24864

Now multiplying the highest exponent prime factors to calculate the LCM of 24850 and 24864.

LCM(24850,24864) = 2⁵ × 5² × 7¹ × 71¹ × 3¹ × 37¹
LCM(24850,24864) = 44133600