What is the Least Common Multiple of 14562 and 14577?

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 14562 and 14577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14562 and 14577, than apply into the LCM equation.

GCF(14562,14577) = 3
LCM(14562,14577) = ( 14562 × 14577) / 3
LCM(14562,14577) = 212270274 / 3
LCM(14562,14577) = 70756758

Least Common Multiple (LCM) of 14562 and 14577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14562 and 14577. First we will calculate the prime factors of 14562 and 14577.

Prime Factorization of 14562

Prime Factorization of 14577

Now multiplying the highest exponent prime factors to calculate the LCM of 14562 and 14577.

LCM(14562,14577) = 2¹ × 3² × 809¹ × 43¹ × 113¹
LCM(14562,14577) = 70756758