What is the Least Common Multiple of 16240 and 16254?

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 16240 and 16254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16240 and 16254, than apply into the LCM equation.

GCF(16240,16254) = 14
LCM(16240,16254) = ( 16240 × 16254) / 14
LCM(16240,16254) = 263964960 / 14
LCM(16240,16254) = 18854640

Least Common Multiple (LCM) of 16240 and 16254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16240 and 16254. First we will calculate the prime factors of 16240 and 16254.

Prime Factorization of 16240

Prime Factorization of 16254

Now multiplying the highest exponent prime factors to calculate the LCM of 16240 and 16254.

LCM(16240,16254) = 2⁴ × 5¹ × 7¹ × 29¹ × 3³ × 43¹
LCM(16240,16254) = 18854640