What is the Least Common Multiple of 80465 and 80473?
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 80465 and 80473 is 6475259945.
LCM(80465,80473) = 6475259945
Least Common Multiple of 80465 and 80473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80465 and 80473, than apply into the LCM equation.
GCF(80465,80473) = 1
LCM(80465,80473) = ( 80465 × 80473) / 1
LCM(80465,80473) = 6475259945 / 1
LCM(80465,80473) = 6475259945
Least Common Multiple (LCM) of 80465 and 80473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80465 and 80473. First we will calculate the prime factors of 80465 and 80473.
Prime Factorization of 80465
Prime factors of 80465 are 5, 7, 11, 19. Prime factorization of 80465 in exponential form is:
80465 = 51 × 71 × 112 × 191
Prime Factorization of 80473
Prime factors of 80473 are 80473. Prime factorization of 80473 in exponential form is:
80473 = 804731
Now multiplying the highest exponent prime factors to calculate the LCM of 80465 and 80473.
LCM(80465,80473) = 51 × 71 × 112 × 191 × 804731
LCM(80465,80473) = 6475259945
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