What is the Least Common Multiple of 14040 and 14052?

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 14040 and 14052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14040 and 14052, than apply into the LCM equation.

GCF(14040,14052) = 12
LCM(14040,14052) = ( 14040 × 14052) / 12
LCM(14040,14052) = 197290080 / 12
LCM(14040,14052) = 16440840

Least Common Multiple (LCM) of 14040 and 14052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14040 and 14052. First we will calculate the prime factors of 14040 and 14052.

Prime Factorization of 14040

Prime Factorization of 14052

Now multiplying the highest exponent prime factors to calculate the LCM of 14040 and 14052.

LCM(14040,14052) = 2³ × 3³ × 5¹ × 13¹ × 1171¹
LCM(14040,14052) = 16440840