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What is the Least Common Multiple of 43963 and 43979?

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 43963 and 43979 is 1933448777.

LCM(43963,43979) = 1933448777

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Least Common Multiple of 43963 and 43979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43963 and 43979, than apply into the LCM equation.

GCF(43963,43979) = 1
LCM(43963,43979) = ( 43963 × 43979) / 1
LCM(43963,43979) = 1933448777 / 1
LCM(43963,43979) = 1933448777

Least Common Multiple (LCM) of 43963 and 43979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43963 and 43979. First we will calculate the prime factors of 43963 and 43979.

Prime Factorization of 43963

Prime factors of 43963 are 43963. Prime factorization of 43963 in exponential form is:

43963 = 439631

Prime Factorization of 43979

Prime factors of 43979 are 13, 17, 199. Prime factorization of 43979 in exponential form is:

43979 = 131 × 171 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 43963 and 43979.

LCM(43963,43979) = 439631 × 131 × 171 × 1991
LCM(43963,43979) = 1933448777