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What is the Least Common Multiple of 43795 and 43802?

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 43795 and 43802 is 1918308590.

LCM(43795,43802) = 1918308590

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Least Common Multiple of 43795 and 43802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43795 and 43802, than apply into the LCM equation.

GCF(43795,43802) = 1
LCM(43795,43802) = ( 43795 × 43802) / 1
LCM(43795,43802) = 1918308590 / 1
LCM(43795,43802) = 1918308590

Least Common Multiple (LCM) of 43795 and 43802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43795 and 43802. First we will calculate the prime factors of 43795 and 43802.

Prime Factorization of 43795

Prime factors of 43795 are 5, 19, 461. Prime factorization of 43795 in exponential form is:

43795 = 51 × 191 × 4611

Prime Factorization of 43802

Prime factors of 43802 are 2, 11, 181. Prime factorization of 43802 in exponential form is:

43802 = 21 × 112 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 43795 and 43802.

LCM(43795,43802) = 51 × 191 × 4611 × 21 × 112 × 1811
LCM(43795,43802) = 1918308590