What is the Least Common Multiple of 50184 and 50201?
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 50184 and 50201 is 148193352.
LCM(50184,50201) = 148193352
Least Common Multiple of 50184 and 50201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50184 and 50201, than apply into the LCM equation.
GCF(50184,50201) = 17
LCM(50184,50201) = ( 50184 × 50201) / 17
LCM(50184,50201) = 2519286984 / 17
LCM(50184,50201) = 148193352
Least Common Multiple (LCM) of 50184 and 50201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50184 and 50201. First we will calculate the prime factors of 50184 and 50201.
Prime Factorization of 50184
Prime factors of 50184 are 2, 3, 17, 41. Prime factorization of 50184 in exponential form is:
50184 = 23 × 32 × 171 × 411
Prime Factorization of 50201
Prime factors of 50201 are 17, 2953. Prime factorization of 50201 in exponential form is:
50201 = 171 × 29531
Now multiplying the highest exponent prime factors to calculate the LCM of 50184 and 50201.
LCM(50184,50201) = 23 × 32 × 171 × 411 × 29531
LCM(50184,50201) = 148193352
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