What is the Least Common Multiple of 63422 and 63426?
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 63422 and 63426 is 2011301886.
LCM(63422,63426) = 2011301886
Least Common Multiple of 63422 and 63426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63422 and 63426, than apply into the LCM equation.
GCF(63422,63426) = 2
LCM(63422,63426) = ( 63422 × 63426) / 2
LCM(63422,63426) = 4022603772 / 2
LCM(63422,63426) = 2011301886
Least Common Multiple (LCM) of 63422 and 63426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63422 and 63426. First we will calculate the prime factors of 63422 and 63426.
Prime Factorization of 63422
Prime factors of 63422 are 2, 19, 1669. Prime factorization of 63422 in exponential form is:
63422 = 21 × 191 × 16691
Prime Factorization of 63426
Prime factors of 63426 are 2, 3, 11, 31. Prime factorization of 63426 in exponential form is:
63426 = 21 × 31 × 111 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 63422 and 63426.
LCM(63422,63426) = 21 × 191 × 16691 × 31 × 111 × 312
LCM(63422,63426) = 2011301886
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