What is the Least Common Multiple of 14628 and 14640?

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 14628 and 14640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14628 and 14640, than apply into the LCM equation.

GCF(14628,14640) = 12
LCM(14628,14640) = ( 14628 × 14640) / 12
LCM(14628,14640) = 214153920 / 12
LCM(14628,14640) = 17846160

Least Common Multiple (LCM) of 14628 and 14640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14628 and 14640. First we will calculate the prime factors of 14628 and 14640.

Prime Factorization of 14628

Prime Factorization of 14640

Now multiplying the highest exponent prime factors to calculate the LCM of 14628 and 14640.

LCM(14628,14640) = 2⁴ × 3¹ × 23¹ × 53¹ × 5¹ × 61¹
LCM(14628,14640) = 17846160