What is the Least Common Multiple of 14546 and 14560?

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 14546 and 14560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14546 and 14560, than apply into the LCM equation.

GCF(14546,14560) = 14
LCM(14546,14560) = ( 14546 × 14560) / 14
LCM(14546,14560) = 211789760 / 14
LCM(14546,14560) = 15127840

Least Common Multiple (LCM) of 14546 and 14560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14546 and 14560. First we will calculate the prime factors of 14546 and 14560.

Prime Factorization of 14546

Prime Factorization of 14560

Now multiplying the highest exponent prime factors to calculate the LCM of 14546 and 14560.

LCM(14546,14560) = 2⁵ × 7¹ × 1039¹ × 5¹ × 13¹
LCM(14546,14560) = 15127840