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What is the Least Common Multiple of 43426 and 43445?

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 43426 and 43445 is 1886642570.

LCM(43426,43445) = 1886642570

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Least Common Multiple of 43426 and 43445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43426 and 43445, than apply into the LCM equation.

GCF(43426,43445) = 1
LCM(43426,43445) = ( 43426 × 43445) / 1
LCM(43426,43445) = 1886642570 / 1
LCM(43426,43445) = 1886642570

Least Common Multiple (LCM) of 43426 and 43445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43426 and 43445. First we will calculate the prime factors of 43426 and 43445.

Prime Factorization of 43426

Prime factors of 43426 are 2, 21713. Prime factorization of 43426 in exponential form is:

43426 = 21 × 217131

Prime Factorization of 43445

Prime factors of 43445 are 5, 8689. Prime factorization of 43445 in exponential form is:

43445 = 51 × 86891

Now multiplying the highest exponent prime factors to calculate the LCM of 43426 and 43445.

LCM(43426,43445) = 21 × 217131 × 51 × 86891
LCM(43426,43445) = 1886642570