What is the Least Common Multiple of 14540 and 14546?

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 14540 and 14546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14540 and 14546, than apply into the LCM equation.

GCF(14540,14546) = 2
LCM(14540,14546) = ( 14540 × 14546) / 2
LCM(14540,14546) = 211498840 / 2
LCM(14540,14546) = 105749420

Least Common Multiple (LCM) of 14540 and 14546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14540 and 14546. First we will calculate the prime factors of 14540 and 14546.

Prime Factorization of 14540

Prime Factorization of 14546

Now multiplying the highest exponent prime factors to calculate the LCM of 14540 and 14546.

LCM(14540,14546) = 2² × 5¹ × 727¹ × 7¹ × 1039¹
LCM(14540,14546) = 105749420