What is the Least Common Multiple of 14278 and 14292?

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 14278 and 14292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14278 and 14292, than apply into the LCM equation.

GCF(14278,14292) = 2
LCM(14278,14292) = ( 14278 × 14292) / 2
LCM(14278,14292) = 204061176 / 2
LCM(14278,14292) = 102030588

Least Common Multiple (LCM) of 14278 and 14292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14278 and 14292. First we will calculate the prime factors of 14278 and 14292.

Prime Factorization of 14278

Prime Factorization of 14292

Now multiplying the highest exponent prime factors to calculate the LCM of 14278 and 14292.

LCM(14278,14292) = 2² × 11² × 59¹ × 3² × 397¹
LCM(14278,14292) = 102030588