What is the Least Common Multiple of 14240 and 14260?

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 14240 and 14260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14240 and 14260, than apply into the LCM equation.

GCF(14240,14260) = 20
LCM(14240,14260) = ( 14240 × 14260) / 20
LCM(14240,14260) = 203062400 / 20
LCM(14240,14260) = 10153120

Least Common Multiple (LCM) of 14240 and 14260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14240 and 14260. First we will calculate the prime factors of 14240 and 14260.

Prime Factorization of 14240

Prime Factorization of 14260

Now multiplying the highest exponent prime factors to calculate the LCM of 14240 and 14260.

LCM(14240,14260) = 2⁵ × 5¹ × 89¹ × 23¹ × 31¹
LCM(14240,14260) = 10153120