What is the Least Common Multiple of 44169 and 44178?
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 44169 and 44178 is 650432694.
LCM(44169,44178) = 650432694
Least Common Multiple of 44169 and 44178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44169 and 44178, than apply into the LCM equation.
GCF(44169,44178) = 3
LCM(44169,44178) = ( 44169 × 44178) / 3
LCM(44169,44178) = 1951298082 / 3
LCM(44169,44178) = 650432694
Least Common Multiple (LCM) of 44169 and 44178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44169 and 44178. First we will calculate the prime factors of 44169 and 44178.
Prime Factorization of 44169
Prime factors of 44169 are 3, 14723. Prime factorization of 44169 in exponential form is:
44169 = 31 × 147231
Prime Factorization of 44178
Prime factors of 44178 are 2, 3, 37, 199. Prime factorization of 44178 in exponential form is:
44178 = 21 × 31 × 371 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 44169 and 44178.
LCM(44169,44178) = 31 × 147231 × 21 × 371 × 1991
LCM(44169,44178) = 650432694
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