What is the Least Common Multiple of 43966 and 43983?

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 43966 and 43983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43966 and 43983, than apply into the LCM equation.

GCF(43966,43983) = 1
LCM(43966,43983) = ( 43966 × 43983) / 1
LCM(43966,43983) = 1933756578 / 1
LCM(43966,43983) = 1933756578

Least Common Multiple (LCM) of 43966 and 43983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43966 and 43983. First we will calculate the prime factors of 43966 and 43983.

Prime Factorization of 43966

Prime Factorization of 43983

Now multiplying the highest exponent prime factors to calculate the LCM of 43966 and 43983.

LCM(43966,43983) = 2¹ × 13¹ × 19¹ × 89¹ × 3⁵ × 181¹
LCM(43966,43983) = 1933756578