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What is the Least Common Multiple of 43959 and 43969?

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 43959 and 43969 is 1932833271.

LCM(43959,43969) = 1932833271

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Least Common Multiple of 43959 and 43969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43959 and 43969, than apply into the LCM equation.

GCF(43959,43969) = 1
LCM(43959,43969) = ( 43959 × 43969) / 1
LCM(43959,43969) = 1932833271 / 1
LCM(43959,43969) = 1932833271

Least Common Multiple (LCM) of 43959 and 43969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43959 and 43969. First we will calculate the prime factors of 43959 and 43969.

Prime Factorization of 43959

Prime factors of 43959 are 3, 14653. Prime factorization of 43959 in exponential form is:

43959 = 31 × 146531

Prime Factorization of 43969

Prime factors of 43969 are 43969. Prime factorization of 43969 in exponential form is:

43969 = 439691

Now multiplying the highest exponent prime factors to calculate the LCM of 43959 and 43969.

LCM(43959,43969) = 31 × 146531 × 439691
LCM(43959,43969) = 1932833271