What is the Least Common Multiple of 14445 and 14457?

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 14445 and 14457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14445 and 14457, than apply into the LCM equation.

GCF(14445,14457) = 3
LCM(14445,14457) = ( 14445 × 14457) / 3
LCM(14445,14457) = 208831365 / 3
LCM(14445,14457) = 69610455

Least Common Multiple (LCM) of 14445 and 14457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14445 and 14457. First we will calculate the prime factors of 14445 and 14457.

Prime Factorization of 14445

Prime Factorization of 14457

Now multiplying the highest exponent prime factors to calculate the LCM of 14445 and 14457.

LCM(14445,14457) = 3³ × 5¹ × 107¹ × 61¹ × 79¹
LCM(14445,14457) = 69610455