What is the Least Common Multiple of 43956 and 43971?

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 43956 and 43971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43956 and 43971, than apply into the LCM equation.

GCF(43956,43971) = 3
LCM(43956,43971) = ( 43956 × 43971) / 3
LCM(43956,43971) = 1932789276 / 3
LCM(43956,43971) = 644263092

Least Common Multiple (LCM) of 43956 and 43971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43956 and 43971. First we will calculate the prime factors of 43956 and 43971.

Prime Factorization of 43956

Prime Factorization of 43971

Now multiplying the highest exponent prime factors to calculate the LCM of 43956 and 43971.

LCM(43956,43971) = 2² × 3³ × 11¹ × 37¹ × 14657¹
LCM(43956,43971) = 644263092