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What is the Least Common Multiple of 43931 and 43941?

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 (LCM) of 43931 and 43941 is 1930372071.

LCM(43931,43941) = 1930372071

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Least Common Multiple of 43931 and 43941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43931 and 43941, than apply into the LCM equation.

GCF(43931,43941) = 1
LCM(43931,43941) = ( 43931 × 43941) / 1
LCM(43931,43941) = 1930372071 / 1
LCM(43931,43941) = 1930372071

Least Common Multiple (LCM) of 43931 and 43941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43931 and 43941. First we will calculate the prime factors of 43931 and 43941.

Prime Factorization of 43931

Prime factors of 43931 are 197, 223. Prime factorization of 43931 in exponential form is:

43931 = 1971 × 2231

Prime Factorization of 43941

Prime factors of 43941 are 3, 97, 151. Prime factorization of 43941 in exponential form is:

43941 = 31 × 971 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 43931 and 43941.

LCM(43931,43941) = 1971 × 2231 × 31 × 971 × 1511
LCM(43931,43941) = 1930372071