What is the Least Common Multiple of 24752 and 24758?

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 24752 and 24758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24752 and 24758, than apply into the LCM equation.

GCF(24752,24758) = 2
LCM(24752,24758) = ( 24752 × 24758) / 2
LCM(24752,24758) = 612810016 / 2
LCM(24752,24758) = 306405008

Least Common Multiple (LCM) of 24752 and 24758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24752 and 24758. First we will calculate the prime factors of 24752 and 24758.

Prime Factorization of 24752

Prime Factorization of 24758

Now multiplying the highest exponent prime factors to calculate the LCM of 24752 and 24758.

LCM(24752,24758) = 2⁴ × 7¹ × 13¹ × 17¹ × 12379¹
LCM(24752,24758) = 306405008