What is the Least Common Multiple of 43513 and 43529?
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 43513 and 43529 is 1894077377.
LCM(43513,43529) = 1894077377
Least Common Multiple of 43513 and 43529 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43513 and 43529, than apply into the LCM equation.
GCF(43513,43529) = 1
LCM(43513,43529) = ( 43513 × 43529) / 1
LCM(43513,43529) = 1894077377 / 1
LCM(43513,43529) = 1894077377
Least Common Multiple (LCM) of 43513 and 43529 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43513 and 43529. First we will calculate the prime factors of 43513 and 43529.
Prime Factorization of 43513
Prime factors of 43513 are 53, 821. Prime factorization of 43513 in exponential form is:
43513 = 531 × 8211
Prime Factorization of 43529
Prime factors of 43529 are 19, 29, 79. Prime factorization of 43529 in exponential form is:
43529 = 191 × 291 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 43513 and 43529.
LCM(43513,43529) = 531 × 8211 × 191 × 291 × 791
LCM(43513,43529) = 1894077377
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