What is the Least Common Multiple of 43897 and 43916?

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 43897 and 43916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43897 and 43916, than apply into the LCM equation.

GCF(43897,43916) = 1
LCM(43897,43916) = ( 43897 × 43916) / 1
LCM(43897,43916) = 1927780652 / 1
LCM(43897,43916) = 1927780652

Least Common Multiple (LCM) of 43897 and 43916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43897 and 43916. First we will calculate the prime factors of 43897 and 43916.

Prime Factorization of 43897

Prime Factorization of 43916

Now multiplying the highest exponent prime factors to calculate the LCM of 43897 and 43916.

LCM(43897,43916) = 7¹ × 6271¹ × 2² × 10979¹
LCM(43897,43916) = 1927780652