What is the Least Common Multiple of 55227 and 55237?
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 55227 and 55237 is 3050573799.
LCM(55227,55237) = 3050573799
Least Common Multiple of 55227 and 55237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55227 and 55237, than apply into the LCM equation.
GCF(55227,55237) = 1
LCM(55227,55237) = ( 55227 × 55237) / 1
LCM(55227,55237) = 3050573799 / 1
LCM(55227,55237) = 3050573799
Least Common Multiple (LCM) of 55227 and 55237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55227 and 55237. First we will calculate the prime factors of 55227 and 55237.
Prime Factorization of 55227
Prime factors of 55227 are 3, 41, 449. Prime factorization of 55227 in exponential form is:
55227 = 31 × 411 × 4491
Prime Factorization of 55237
Prime factors of 55237 are 7, 13, 607. Prime factorization of 55237 in exponential form is:
55237 = 71 × 131 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 55227 and 55237.
LCM(55227,55237) = 31 × 411 × 4491 × 71 × 131 × 6071
LCM(55227,55237) = 3050573799
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