What is the Least Common Multiple of 44183 and 44201?
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 44183 and 44201 is 1952932783.
LCM(44183,44201) = 1952932783
Least Common Multiple of 44183 and 44201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44183 and 44201, than apply into the LCM equation.
GCF(44183,44201) = 1
LCM(44183,44201) = ( 44183 × 44201) / 1
LCM(44183,44201) = 1952932783 / 1
LCM(44183,44201) = 1952932783
Least Common Multiple (LCM) of 44183 and 44201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44183 and 44201. First we will calculate the prime factors of 44183 and 44201.
Prime Factorization of 44183
Prime factors of 44183 are 17, 23, 113. Prime factorization of 44183 in exponential form is:
44183 = 171 × 231 × 1131
Prime Factorization of 44201
Prime factors of 44201 are 44201. Prime factorization of 44201 in exponential form is:
44201 = 442011
Now multiplying the highest exponent prime factors to calculate the LCM of 44183 and 44201.
LCM(44183,44201) = 171 × 231 × 1131 × 442011
LCM(44183,44201) = 1952932783
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