What is the Least Common Multiple of 55149 and 55163?
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 55149 and 55163 is 3042184287.
LCM(55149,55163) = 3042184287
Least Common Multiple of 55149 and 55163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55149 and 55163, than apply into the LCM equation.
GCF(55149,55163) = 1
LCM(55149,55163) = ( 55149 × 55163) / 1
LCM(55149,55163) = 3042184287 / 1
LCM(55149,55163) = 3042184287
Least Common Multiple (LCM) of 55149 and 55163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55149 and 55163. First we will calculate the prime factors of 55149 and 55163.
Prime Factorization of 55149
Prime factors of 55149 are 3, 31, 593. Prime factorization of 55149 in exponential form is:
55149 = 31 × 311 × 5931
Prime Factorization of 55163
Prime factors of 55163 are 55163. Prime factorization of 55163 in exponential form is:
55163 = 551631
Now multiplying the highest exponent prime factors to calculate the LCM of 55149 and 55163.
LCM(55149,55163) = 31 × 311 × 5931 × 551631
LCM(55149,55163) = 3042184287
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