What is the Least Common Multiple of 71793 and 71803?

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 71793 and 71803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71793 and 71803, than apply into the LCM equation.

GCF(71793,71803) = 1
LCM(71793,71803) = ( 71793 × 71803) / 1
LCM(71793,71803) = 5154952779 / 1
LCM(71793,71803) = 5154952779

Least Common Multiple (LCM) of 71793 and 71803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71793 and 71803. First we will calculate the prime factors of 71793 and 71803.

Prime Factorization of 71793

Prime Factorization of 71803

Now multiplying the highest exponent prime factors to calculate the LCM of 71793 and 71803.

LCM(71793,71803) = 3³ × 2659¹ × 59¹ × 1217¹
LCM(71793,71803) = 5154952779