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What is the Least Common Multiple of 43927 and 43945?

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 43927 and 43945 is 1930372015.

LCM(43927,43945) = 1930372015

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Least Common Multiple of 43927 and 43945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43927 and 43945, than apply into the LCM equation.

GCF(43927,43945) = 1
LCM(43927,43945) = ( 43927 × 43945) / 1
LCM(43927,43945) = 1930372015 / 1
LCM(43927,43945) = 1930372015

Least Common Multiple (LCM) of 43927 and 43945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43927 and 43945. First we will calculate the prime factors of 43927 and 43945.

Prime Factorization of 43927

Prime factors of 43927 are 13, 31, 109. Prime factorization of 43927 in exponential form is:

43927 = 131 × 311 × 1091

Prime Factorization of 43945

Prime factors of 43945 are 5, 11, 17, 47. Prime factorization of 43945 in exponential form is:

43945 = 51 × 111 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 43927 and 43945.

LCM(43927,43945) = 131 × 311 × 1091 × 51 × 111 × 171 × 471
LCM(43927,43945) = 1930372015