What is the Least Common Multiple of 63422 and 63431?
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 63431 is 4022920882.
LCM(63422,63431) = 4022920882
Least Common Multiple of 63422 and 63431 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 63431, than apply into the LCM equation.
GCF(63422,63431) = 1
LCM(63422,63431) = ( 63422 × 63431) / 1
LCM(63422,63431) = 4022920882 / 1
LCM(63422,63431) = 4022920882
Least Common Multiple (LCM) of 63422 and 63431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63422 and 63431. First we will calculate the prime factors of 63422 and 63431.
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 63431
Prime factors of 63431 are 137, 463. Prime factorization of 63431 in exponential form is:
63431 = 1371 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 63422 and 63431.
LCM(63422,63431) = 21 × 191 × 16691 × 1371 × 4631
LCM(63422,63431) = 4022920882
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