What is the Least Common Multiple of 99749 and 99753?

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 99749 and 99753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99749 and 99753, than apply into the LCM equation.

GCF(99749,99753) = 1
LCM(99749,99753) = ( 99749 × 99753) / 1
LCM(99749,99753) = 9950261997 / 1
LCM(99749,99753) = 9950261997

Least Common Multiple (LCM) of 99749 and 99753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99749 and 99753. First we will calculate the prime factors of 99749 and 99753.

Prime Factorization of 99749

Prime Factorization of 99753

Now multiplying the highest exponent prime factors to calculate the LCM of 99749 and 99753.

LCM(99749,99753) = 13¹ × 7673¹ × 3¹ × 41¹ × 811¹
LCM(99749,99753) = 9950261997