What is the Least Common Multiple of 43517 and 43521?
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 43517 and 43521 is 1893903357.
LCM(43517,43521) = 1893903357
Least Common Multiple of 43517 and 43521 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43517 and 43521, than apply into the LCM equation.
GCF(43517,43521) = 1
LCM(43517,43521) = ( 43517 × 43521) / 1
LCM(43517,43521) = 1893903357 / 1
LCM(43517,43521) = 1893903357
Least Common Multiple (LCM) of 43517 and 43521 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43517 and 43521. First we will calculate the prime factors of 43517 and 43521.
Prime Factorization of 43517
Prime factors of 43517 are 43517. Prime factorization of 43517 in exponential form is:
43517 = 435171
Prime Factorization of 43521
Prime factors of 43521 are 3, 89, 163. Prime factorization of 43521 in exponential form is:
43521 = 31 × 891 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 43517 and 43521.
LCM(43517,43521) = 435171 × 31 × 891 × 1631
LCM(43517,43521) = 1893903357
Related Least Common Multiples of 43517
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Related Least Common Multiples of 43521
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