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What is the Least Common Multiple of 43881 and 43897?

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 43881 and 43897 is 1926244257.

LCM(43881,43897) = 1926244257

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Least Common Multiple of 43881 and 43897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43881 and 43897, than apply into the LCM equation.

GCF(43881,43897) = 1
LCM(43881,43897) = ( 43881 × 43897) / 1
LCM(43881,43897) = 1926244257 / 1
LCM(43881,43897) = 1926244257

Least Common Multiple (LCM) of 43881 and 43897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43881 and 43897. First we will calculate the prime factors of 43881 and 43897.

Prime Factorization of 43881

Prime factors of 43881 are 3, 14627. Prime factorization of 43881 in exponential form is:

43881 = 31 × 146271

Prime Factorization of 43897

Prime factors of 43897 are 7, 6271. Prime factorization of 43897 in exponential form is:

43897 = 71 × 62711

Now multiplying the highest exponent prime factors to calculate the LCM of 43881 and 43897.

LCM(43881,43897) = 31 × 146271 × 71 × 62711
LCM(43881,43897) = 1926244257