What is the Least Common Multiple of 43008 and 43014?

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 43008 and 43014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43008 and 43014, than apply into the LCM equation.

GCF(43008,43014) = 6
LCM(43008,43014) = ( 43008 × 43014) / 6
LCM(43008,43014) = 1849946112 / 6
LCM(43008,43014) = 308324352

Least Common Multiple (LCM) of 43008 and 43014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43008 and 43014. First we will calculate the prime factors of 43008 and 43014.

Prime Factorization of 43008

Prime Factorization of 43014

Now multiplying the highest exponent prime factors to calculate the LCM of 43008 and 43014.

LCM(43008,43014) = 2¹¹ × 3¹ × 7¹ × 67¹ × 107¹
LCM(43008,43014) = 308324352