What is the Least Common Multiple of 99731 and 99749?

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 99731 and 99749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99731 and 99749, than apply into the LCM equation.

GCF(99731,99749) = 1
LCM(99731,99749) = ( 99731 × 99749) / 1
LCM(99731,99749) = 9948067519 / 1
LCM(99731,99749) = 9948067519

Least Common Multiple (LCM) of 99731 and 99749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99731 and 99749. First we will calculate the prime factors of 99731 and 99749.

Prime Factorization of 99731

Prime Factorization of 99749

Now multiplying the highest exponent prime factors to calculate the LCM of 99731 and 99749.

LCM(99731,99749) = 19¹ × 29¹ × 181¹ × 13¹ × 7673¹
LCM(99731,99749) = 9948067519