What is the Least Common Multiple of 14840 and 14856?

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 14840 and 14856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14840 and 14856, than apply into the LCM equation.

GCF(14840,14856) = 8
LCM(14840,14856) = ( 14840 × 14856) / 8
LCM(14840,14856) = 220463040 / 8
LCM(14840,14856) = 27557880

Least Common Multiple (LCM) of 14840 and 14856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14840 and 14856. First we will calculate the prime factors of 14840 and 14856.

Prime Factorization of 14840

Prime Factorization of 14856

Now multiplying the highest exponent prime factors to calculate the LCM of 14840 and 14856.

LCM(14840,14856) = 2³ × 5¹ × 7¹ × 53¹ × 3¹ × 619¹
LCM(14840,14856) = 27557880