What is the Least Common Multiple of 99771 and 99791?

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 99771 and 99791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99771 and 99791, than apply into the LCM equation.

GCF(99771,99791) = 1
LCM(99771,99791) = ( 99771 × 99791) / 1
LCM(99771,99791) = 9956247861 / 1
LCM(99771,99791) = 9956247861

Least Common Multiple (LCM) of 99771 and 99791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99771 and 99791. First we will calculate the prime factors of 99771 and 99791.

Prime Factorization of 99771

Prime Factorization of 99791

Now multiplying the highest exponent prime factors to calculate the LCM of 99771 and 99791.

LCM(99771,99791) = 3¹ × 7¹ × 4751¹ × 73¹ × 1367¹
LCM(99771,99791) = 9956247861