What is the Least Common Multiple of 24738 and 24752?

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 24738 and 24752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24738 and 24752, than apply into the LCM equation.

GCF(24738,24752) = 14
LCM(24738,24752) = ( 24738 × 24752) / 14
LCM(24738,24752) = 612314976 / 14
LCM(24738,24752) = 43736784

Least Common Multiple (LCM) of 24738 and 24752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24738 and 24752. First we will calculate the prime factors of 24738 and 24752.

Prime Factorization of 24738

Prime Factorization of 24752

Now multiplying the highest exponent prime factors to calculate the LCM of 24738 and 24752.

LCM(24738,24752) = 2⁴ × 3¹ × 7¹ × 19¹ × 31¹ × 13¹ × 17¹
LCM(24738,24752) = 43736784