What is the Least Common Multiple of 58769 and 58773?

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 58769 and 58773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58769 and 58773, than apply into the LCM equation.

GCF(58769,58773) = 1
LCM(58769,58773) = ( 58769 × 58773) / 1
LCM(58769,58773) = 3454030437 / 1
LCM(58769,58773) = 3454030437

Least Common Multiple (LCM) of 58769 and 58773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58769 and 58773. First we will calculate the prime factors of 58769 and 58773.

Prime Factorization of 58769

Prime Factorization of 58773

Now multiplying the highest exponent prime factors to calculate the LCM of 58769 and 58773.

LCM(58769,58773) = 17¹ × 3457¹ × 3¹ × 11¹ × 13¹ × 137¹
LCM(58769,58773) = 3454030437