What is the Least Common Multiple of 14035 and 14040?

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 14035 and 14040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14035 and 14040, than apply into the LCM equation.

GCF(14035,14040) = 5
LCM(14035,14040) = ( 14035 × 14040) / 5
LCM(14035,14040) = 197051400 / 5
LCM(14035,14040) = 39410280

Least Common Multiple (LCM) of 14035 and 14040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14035 and 14040. First we will calculate the prime factors of 14035 and 14040.

Prime Factorization of 14035

Prime Factorization of 14040

Now multiplying the highest exponent prime factors to calculate the LCM of 14035 and 14040.

LCM(14035,14040) = 5¹ × 7¹ × 401¹ × 2³ × 3³ × 13¹
LCM(14035,14040) = 39410280