What is the Least Common Multiple of 43465 and 43471?
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 43465 and 43471 is 1889467015.
LCM(43465,43471) = 1889467015
Least Common Multiple of 43465 and 43471 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43465 and 43471, than apply into the LCM equation.
GCF(43465,43471) = 1
LCM(43465,43471) = ( 43465 × 43471) / 1
LCM(43465,43471) = 1889467015 / 1
LCM(43465,43471) = 1889467015
Least Common Multiple (LCM) of 43465 and 43471 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43465 and 43471. First we will calculate the prime factors of 43465 and 43471.
Prime Factorization of 43465
Prime factors of 43465 are 5, 8693. Prime factorization of 43465 in exponential form is:
43465 = 51 × 86931
Prime Factorization of 43471
Prime factors of 43471 are 29, 1499. Prime factorization of 43471 in exponential form is:
43471 = 291 × 14991
Now multiplying the highest exponent prime factors to calculate the LCM of 43465 and 43471.
LCM(43465,43471) = 51 × 86931 × 291 × 14991
LCM(43465,43471) = 1889467015
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