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What is the Least Common Multiple of 43930 and 43949?

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 43930 and 43949 is 1930679570.

LCM(43930,43949) = 1930679570

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Least Common Multiple of 43930 and 43949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43930 and 43949, than apply into the LCM equation.

GCF(43930,43949) = 1
LCM(43930,43949) = ( 43930 × 43949) / 1
LCM(43930,43949) = 1930679570 / 1
LCM(43930,43949) = 1930679570

Least Common Multiple (LCM) of 43930 and 43949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43930 and 43949. First we will calculate the prime factors of 43930 and 43949.

Prime Factorization of 43930

Prime factors of 43930 are 2, 5, 23, 191. Prime factorization of 43930 in exponential form is:

43930 = 21 × 51 × 231 × 1911

Prime Factorization of 43949

Prime factors of 43949 are 71, 619. Prime factorization of 43949 in exponential form is:

43949 = 711 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 43930 and 43949.

LCM(43930,43949) = 21 × 51 × 231 × 1911 × 711 × 6191
LCM(43930,43949) = 1930679570