What is the Least Common Multiple of 58785 and 58803?

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 58785 and 58803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58785 and 58803, than apply into the LCM equation.

GCF(58785,58803) = 3
LCM(58785,58803) = ( 58785 × 58803) / 3
LCM(58785,58803) = 3456734355 / 3
LCM(58785,58803) = 1152244785

Least Common Multiple (LCM) of 58785 and 58803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58785 and 58803. First we will calculate the prime factors of 58785 and 58803.

Prime Factorization of 58785

Prime Factorization of 58803

Now multiplying the highest exponent prime factors to calculate the LCM of 58785 and 58803.

LCM(58785,58803) = 3¹ × 5¹ × 3919¹ × 17¹ × 1153¹
LCM(58785,58803) = 1152244785