What is the Least Common Multiple of 44163 and 44169?
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 44163 and 44169 is 650211849.
LCM(44163,44169) = 650211849
Least Common Multiple of 44163 and 44169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44163 and 44169, than apply into the LCM equation.
GCF(44163,44169) = 3
LCM(44163,44169) = ( 44163 × 44169) / 3
LCM(44163,44169) = 1950635547 / 3
LCM(44163,44169) = 650211849
Least Common Multiple (LCM) of 44163 and 44169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44163 and 44169. First we will calculate the prime factors of 44163 and 44169.
Prime Factorization of 44163
Prime factors of 44163 are 3, 7, 701. Prime factorization of 44163 in exponential form is:
44163 = 32 × 71 × 7011
Prime Factorization of 44169
Prime factors of 44169 are 3, 14723. Prime factorization of 44169 in exponential form is:
44169 = 31 × 147231
Now multiplying the highest exponent prime factors to calculate the LCM of 44163 and 44169.
LCM(44163,44169) = 32 × 71 × 7011 × 147231
LCM(44163,44169) = 650211849
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