What is the Least Common Multiple of 58803 and 58823?

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 58803 and 58823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58803 and 58823, than apply into the LCM equation.

GCF(58803,58823) = 1
LCM(58803,58823) = ( 58803 × 58823) / 1
LCM(58803,58823) = 3458968869 / 1
LCM(58803,58823) = 3458968869

Least Common Multiple (LCM) of 58803 and 58823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58803 and 58823. First we will calculate the prime factors of 58803 and 58823.

Prime Factorization of 58803

Prime Factorization of 58823

Now multiplying the highest exponent prime factors to calculate the LCM of 58803 and 58823.

LCM(58803,58823) = 3¹ × 17¹ × 1153¹ × 59¹ × 997¹
LCM(58803,58823) = 3458968869