What is the Least Common Multiple of 22477 and 22481?
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 22477 and 22481 is 505305437.
LCM(22477,22481) = 505305437
Least Common Multiple of 22477 and 22481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22477 and 22481, than apply into the LCM equation.
GCF(22477,22481) = 1
LCM(22477,22481) = ( 22477 × 22481) / 1
LCM(22477,22481) = 505305437 / 1
LCM(22477,22481) = 505305437
Least Common Multiple (LCM) of 22477 and 22481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22477 and 22481. First we will calculate the prime factors of 22477 and 22481.
Prime Factorization of 22477
Prime factors of 22477 are 7, 13, 19. Prime factorization of 22477 in exponential form is:
22477 = 71 × 132 × 191
Prime Factorization of 22481
Prime factors of 22481 are 22481. Prime factorization of 22481 in exponential form is:
22481 = 224811
Now multiplying the highest exponent prime factors to calculate the LCM of 22477 and 22481.
LCM(22477,22481) = 71 × 132 × 191 × 224811
LCM(22477,22481) = 505305437
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