What is the Least Common Multiple of 99057 and 99071?

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 99057 and 99071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99057 and 99071, than apply into the LCM equation.

GCF(99057,99071) = 7
LCM(99057,99071) = ( 99057 × 99071) / 7
LCM(99057,99071) = 9813676047 / 7
LCM(99057,99071) = 1401953721

Least Common Multiple (LCM) of 99057 and 99071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99057 and 99071. First we will calculate the prime factors of 99057 and 99071.

Prime Factorization of 99057

Prime Factorization of 99071

Now multiplying the highest exponent prime factors to calculate the LCM of 99057 and 99071.

LCM(99057,99071) = 3¹ × 7¹ × 53¹ × 89¹ × 14153¹
LCM(99057,99071) = 1401953721