What is the Least Common Multiple of 42463 and 42481?
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 42463 and 42481 is 1803870703.
LCM(42463,42481) = 1803870703
Least Common Multiple of 42463 and 42481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42463 and 42481, than apply into the LCM equation.
GCF(42463,42481) = 1
LCM(42463,42481) = ( 42463 × 42481) / 1
LCM(42463,42481) = 1803870703 / 1
LCM(42463,42481) = 1803870703
Least Common Multiple (LCM) of 42463 and 42481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42463 and 42481. First we will calculate the prime factors of 42463 and 42481.
Prime Factorization of 42463
Prime factors of 42463 are 42463. Prime factorization of 42463 in exponential form is:
42463 = 424631
Prime Factorization of 42481
Prime factors of 42481 are 23, 1847. Prime factorization of 42481 in exponential form is:
42481 = 231 × 18471
Now multiplying the highest exponent prime factors to calculate the LCM of 42463 and 42481.
LCM(42463,42481) = 424631 × 231 × 18471
LCM(42463,42481) = 1803870703
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