What is the Least Common Multiple of 43393 and 43406?
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 43393 and 43406 is 1883516558.
LCM(43393,43406) = 1883516558
Least Common Multiple of 43393 and 43406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43393 and 43406, than apply into the LCM equation.
GCF(43393,43406) = 1
LCM(43393,43406) = ( 43393 × 43406) / 1
LCM(43393,43406) = 1883516558 / 1
LCM(43393,43406) = 1883516558
Least Common Multiple (LCM) of 43393 and 43406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43393 and 43406. First we will calculate the prime factors of 43393 and 43406.
Prime Factorization of 43393
Prime factors of 43393 are 7, 6199. Prime factorization of 43393 in exponential form is:
43393 = 71 × 61991
Prime Factorization of 43406
Prime factors of 43406 are 2, 11, 1973. Prime factorization of 43406 in exponential form is:
43406 = 21 × 111 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 43393 and 43406.
LCM(43393,43406) = 71 × 61991 × 21 × 111 × 19731
LCM(43393,43406) = 1883516558
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