What is the Least Common Multiple of 43947 and 43956?

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 43947 and 43956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43947 and 43956, than apply into the LCM equation.

GCF(43947,43956) = 9
LCM(43947,43956) = ( 43947 × 43956) / 9
LCM(43947,43956) = 1931734332 / 9
LCM(43947,43956) = 214637148

Least Common Multiple (LCM) of 43947 and 43956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43947 and 43956. First we will calculate the prime factors of 43947 and 43956.

Prime Factorization of 43947

Prime Factorization of 43956

Now multiplying the highest exponent prime factors to calculate the LCM of 43947 and 43956.

LCM(43947,43956) = 3³ × 19¹ × 257¹ × 2² × 11¹ × 37¹
LCM(43947,43956) = 214637148