What is the Least Common Multiple of 42469 and 42473?
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 42469 and 42473 is 1803785837.
LCM(42469,42473) = 1803785837
Least Common Multiple of 42469 and 42473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42469 and 42473, than apply into the LCM equation.
GCF(42469,42473) = 1
LCM(42469,42473) = ( 42469 × 42473) / 1
LCM(42469,42473) = 1803785837 / 1
LCM(42469,42473) = 1803785837
Least Common Multiple (LCM) of 42469 and 42473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42469 and 42473. First we will calculate the prime factors of 42469 and 42473.
Prime Factorization of 42469
Prime factors of 42469 are 7, 6067. Prime factorization of 42469 in exponential form is:
42469 = 71 × 60671
Prime Factorization of 42473
Prime factors of 42473 are 42473. Prime factorization of 42473 in exponential form is:
42473 = 424731
Now multiplying the highest exponent prime factors to calculate the LCM of 42469 and 42473.
LCM(42469,42473) = 71 × 60671 × 424731
LCM(42469,42473) = 1803785837
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