What is the Least Common Multiple of 55194 and 55201?
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 55194 and 55201 is 3046763994.
LCM(55194,55201) = 3046763994
Least Common Multiple of 55194 and 55201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55194 and 55201, than apply into the LCM equation.
GCF(55194,55201) = 1
LCM(55194,55201) = ( 55194 × 55201) / 1
LCM(55194,55201) = 3046763994 / 1
LCM(55194,55201) = 3046763994
Least Common Multiple (LCM) of 55194 and 55201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55194 and 55201. First we will calculate the prime factors of 55194 and 55201.
Prime Factorization of 55194
Prime factors of 55194 are 2, 3, 9199. Prime factorization of 55194 in exponential form is:
55194 = 21 × 31 × 91991
Prime Factorization of 55201
Prime factors of 55201 are 55201. Prime factorization of 55201 in exponential form is:
55201 = 552011
Now multiplying the highest exponent prime factors to calculate the LCM of 55194 and 55201.
LCM(55194,55201) = 21 × 31 × 91991 × 552011
LCM(55194,55201) = 3046763994
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