What is the Least Common Multiple of 14577 and 14596?

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 14577 and 14596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14577 and 14596, than apply into the LCM equation.

GCF(14577,14596) = 1
LCM(14577,14596) = ( 14577 × 14596) / 1
LCM(14577,14596) = 212765892 / 1
LCM(14577,14596) = 212765892

Least Common Multiple (LCM) of 14577 and 14596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14577 and 14596. First we will calculate the prime factors of 14577 and 14596.

Prime Factorization of 14577

Prime Factorization of 14596

Now multiplying the highest exponent prime factors to calculate the LCM of 14577 and 14596.

LCM(14577,14596) = 3¹ × 43¹ × 113¹ × 2² × 41¹ × 89¹
LCM(14577,14596) = 212765892