What is the Least Common Multiple of 43396 and 43402?
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 43396 and 43402 is 941736596.
LCM(43396,43402) = 941736596
Least Common Multiple of 43396 and 43402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43396 and 43402, than apply into the LCM equation.
GCF(43396,43402) = 2
LCM(43396,43402) = ( 43396 × 43402) / 2
LCM(43396,43402) = 1883473192 / 2
LCM(43396,43402) = 941736596
Least Common Multiple (LCM) of 43396 and 43402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43396 and 43402. First we will calculate the prime factors of 43396 and 43402.
Prime Factorization of 43396
Prime factors of 43396 are 2, 19, 571. Prime factorization of 43396 in exponential form is:
43396 = 22 × 191 × 5711
Prime Factorization of 43402
Prime factors of 43402 are 2, 21701. Prime factorization of 43402 in exponential form is:
43402 = 21 × 217011
Now multiplying the highest exponent prime factors to calculate the LCM of 43396 and 43402.
LCM(43396,43402) = 22 × 191 × 5711 × 217011
LCM(43396,43402) = 941736596
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