What is the Least Common Multiple of 55028 and 55035?
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 55028 and 55035 is 3028465980.
LCM(55028,55035) = 3028465980
Least Common Multiple of 55028 and 55035 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55028 and 55035, than apply into the LCM equation.
GCF(55028,55035) = 1
LCM(55028,55035) = ( 55028 × 55035) / 1
LCM(55028,55035) = 3028465980 / 1
LCM(55028,55035) = 3028465980
Least Common Multiple (LCM) of 55028 and 55035 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55028 and 55035. First we will calculate the prime factors of 55028 and 55035.
Prime Factorization of 55028
Prime factors of 55028 are 2, 13757. Prime factorization of 55028 in exponential form is:
55028 = 22 × 137571
Prime Factorization of 55035
Prime factors of 55035 are 3, 5, 1223. Prime factorization of 55035 in exponential form is:
55035 = 32 × 51 × 12231
Now multiplying the highest exponent prime factors to calculate the LCM of 55028 and 55035.
LCM(55028,55035) = 22 × 137571 × 32 × 51 × 12231
LCM(55028,55035) = 3028465980
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