What is the Least Common Multiple of 40463 and 40483?
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 40463 and 40483 is 1638063629.
LCM(40463,40483) = 1638063629
Least Common Multiple of 40463 and 40483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40463 and 40483, than apply into the LCM equation.
GCF(40463,40483) = 1
LCM(40463,40483) = ( 40463 × 40483) / 1
LCM(40463,40483) = 1638063629 / 1
LCM(40463,40483) = 1638063629
Least Common Multiple (LCM) of 40463 and 40483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40463 and 40483. First we will calculate the prime factors of 40463 and 40483.
Prime Factorization of 40463
Prime factors of 40463 are 43, 941. Prime factorization of 40463 in exponential form is:
40463 = 431 × 9411
Prime Factorization of 40483
Prime factors of 40483 are 40483. Prime factorization of 40483 in exponential form is:
40483 = 404831
Now multiplying the highest exponent prime factors to calculate the LCM of 40463 and 40483.
LCM(40463,40483) = 431 × 9411 × 404831
LCM(40463,40483) = 1638063629
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