What is the Least Common Multiple of 44182 and 44200?
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 44182 and 44200 is 976422200.
LCM(44182,44200) = 976422200
Least Common Multiple of 44182 and 44200 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44182 and 44200, than apply into the LCM equation.
GCF(44182,44200) = 2
LCM(44182,44200) = ( 44182 × 44200) / 2
LCM(44182,44200) = 1952844400 / 2
LCM(44182,44200) = 976422200
Least Common Multiple (LCM) of 44182 and 44200 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44182 and 44200. First we will calculate the prime factors of 44182 and 44200.
Prime Factorization of 44182
Prime factors of 44182 are 2, 22091. Prime factorization of 44182 in exponential form is:
44182 = 21 × 220911
Prime Factorization of 44200
Prime factors of 44200 are 2, 5, 13, 17. Prime factorization of 44200 in exponential form is:
44200 = 23 × 52 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 44182 and 44200.
LCM(44182,44200) = 23 × 220911 × 52 × 131 × 171
LCM(44182,44200) = 976422200
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