What is the Least Common Multiple of 43968 and 43974?

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 43968 and 43974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43968 and 43974, than apply into the LCM equation.

GCF(43968,43974) = 6
LCM(43968,43974) = ( 43968 × 43974) / 6
LCM(43968,43974) = 1933448832 / 6
LCM(43968,43974) = 322241472

Least Common Multiple (LCM) of 43968 and 43974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43968 and 43974. First we will calculate the prime factors of 43968 and 43974.

Prime Factorization of 43968

Prime Factorization of 43974

Now multiplying the highest exponent prime factors to calculate the LCM of 43968 and 43974.

LCM(43968,43974) = 2⁶ × 3² × 229¹ × 7¹ × 349¹
LCM(43968,43974) = 322241472