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What is the Least Common Multiple of 43861 and 43870?

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 43861 and 43870 is 1924182070.

LCM(43861,43870) = 1924182070

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Least Common Multiple of 43861 and 43870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43861 and 43870, than apply into the LCM equation.

GCF(43861,43870) = 1
LCM(43861,43870) = ( 43861 × 43870) / 1
LCM(43861,43870) = 1924182070 / 1
LCM(43861,43870) = 1924182070

Least Common Multiple (LCM) of 43861 and 43870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43861 and 43870. First we will calculate the prime factors of 43861 and 43870.

Prime Factorization of 43861

Prime factors of 43861 are 23, 1907. Prime factorization of 43861 in exponential form is:

43861 = 231 × 19071

Prime Factorization of 43870

Prime factors of 43870 are 2, 5, 41, 107. Prime factorization of 43870 in exponential form is:

43870 = 21 × 51 × 411 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 43861 and 43870.

LCM(43861,43870) = 231 × 19071 × 21 × 51 × 411 × 1071
LCM(43861,43870) = 1924182070