What is the Least Common Multiple of 99771 and 99789?

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 99789 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 99789, than apply into the LCM equation.

GCF(99771,99789) = 3
LCM(99771,99789) = ( 99771 × 99789) / 3
LCM(99771,99789) = 9956048319 / 3
LCM(99771,99789) = 3318682773

Least Common Multiple (LCM) of 99771 and 99789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99771 and 99789. First we will calculate the prime factors of 99771 and 99789.

Prime Factorization of 99771

Prime Factorization of 99789

Now multiplying the highest exponent prime factors to calculate the LCM of 99771 and 99789.

LCM(99771,99789) = 3¹ × 7¹ × 4751¹ × 29¹ × 31¹ × 37¹
LCM(99771,99789) = 3318682773