What is the Least Common Multiple of 40463 and 40478?
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 40478 is 1637861314.
LCM(40463,40478) = 1637861314
Least Common Multiple of 40463 and 40478 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 40478, than apply into the LCM equation.
GCF(40463,40478) = 1
LCM(40463,40478) = ( 40463 × 40478) / 1
LCM(40463,40478) = 1637861314 / 1
LCM(40463,40478) = 1637861314
Least Common Multiple (LCM) of 40463 and 40478 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40463 and 40478. First we will calculate the prime factors of 40463 and 40478.
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 40478
Prime factors of 40478 are 2, 37, 547. Prime factorization of 40478 in exponential form is:
40478 = 21 × 371 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 40463 and 40478.
LCM(40463,40478) = 431 × 9411 × 21 × 371 × 5471
LCM(40463,40478) = 1637861314
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