What is the Least Common Multiple of 14640 and 14652?

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 14640 and 14652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14640 and 14652, than apply into the LCM equation.

GCF(14640,14652) = 12
LCM(14640,14652) = ( 14640 × 14652) / 12
LCM(14640,14652) = 214505280 / 12
LCM(14640,14652) = 17875440

Least Common Multiple (LCM) of 14640 and 14652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14640 and 14652. First we will calculate the prime factors of 14640 and 14652.

Prime Factorization of 14640

Prime Factorization of 14652

Now multiplying the highest exponent prime factors to calculate the LCM of 14640 and 14652.

LCM(14640,14652) = 2⁴ × 3² × 5¹ × 61¹ × 11¹ × 37¹
LCM(14640,14652) = 17875440