What is the Least Common Multiple of 4183 and 4201?
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 4183 and 4201 is 17572783.
LCM(4183,4201) = 17572783
Least Common Multiple of 4183 and 4201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4183 and 4201, than apply into the LCM equation.
GCF(4183,4201) = 1
LCM(4183,4201) = ( 4183 × 4201) / 1
LCM(4183,4201) = 17572783 / 1
LCM(4183,4201) = 17572783
Least Common Multiple (LCM) of 4183 and 4201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4183 and 4201. First we will calculate the prime factors of 4183 and 4201.
Prime Factorization of 4183
Prime factors of 4183 are 47, 89. Prime factorization of 4183 in exponential form is:
4183 = 471 × 891
Prime Factorization of 4201
Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:
4201 = 42011
Now multiplying the highest exponent prime factors to calculate the LCM of 4183 and 4201.
LCM(4183,4201) = 471 × 891 × 42011
LCM(4183,4201) = 17572783
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