What is the Least Common Multiple of 55231 and 55251?
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 55231 and 55251 is 3051567981.
LCM(55231,55251) = 3051567981
Least Common Multiple of 55231 and 55251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55231 and 55251, than apply into the LCM equation.
GCF(55231,55251) = 1
LCM(55231,55251) = ( 55231 × 55251) / 1
LCM(55231,55251) = 3051567981 / 1
LCM(55231,55251) = 3051567981
Least Common Multiple (LCM) of 55231 and 55251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55231 and 55251. First we will calculate the prime factors of 55231 and 55251.
Prime Factorization of 55231
Prime factors of 55231 are 11, 5021. Prime factorization of 55231 in exponential form is:
55231 = 111 × 50211
Prime Factorization of 55251
Prime factors of 55251 are 3, 7, 877. Prime factorization of 55251 in exponential form is:
55251 = 32 × 71 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 55231 and 55251.
LCM(55231,55251) = 111 × 50211 × 32 × 71 × 8771
LCM(55231,55251) = 3051567981
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