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What is the Least Common Multiple of 43103 and 43119?

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 43103 and 43119 is 1858558257.

LCM(43103,43119) = 1858558257

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Least Common Multiple of 43103 and 43119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43103 and 43119, than apply into the LCM equation.

GCF(43103,43119) = 1
LCM(43103,43119) = ( 43103 × 43119) / 1
LCM(43103,43119) = 1858558257 / 1
LCM(43103,43119) = 1858558257

Least Common Multiple (LCM) of 43103 and 43119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43103 and 43119. First we will calculate the prime factors of 43103 and 43119.

Prime Factorization of 43103

Prime factors of 43103 are 43103. Prime factorization of 43103 in exponential form is:

43103 = 431031

Prime Factorization of 43119

Prime factors of 43119 are 3, 1597. Prime factorization of 43119 in exponential form is:

43119 = 33 × 15971

Now multiplying the highest exponent prime factors to calculate the LCM of 43103 and 43119.

LCM(43103,43119) = 431031 × 33 × 15971
LCM(43103,43119) = 1858558257