What is the Least Common Multiple of 55290 and 55301?
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 55290 and 55301 is 3057592290.
LCM(55290,55301) = 3057592290
Least Common Multiple of 55290 and 55301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55290 and 55301, than apply into the LCM equation.
GCF(55290,55301) = 1
LCM(55290,55301) = ( 55290 × 55301) / 1
LCM(55290,55301) = 3057592290 / 1
LCM(55290,55301) = 3057592290
Least Common Multiple (LCM) of 55290 and 55301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55290 and 55301. First we will calculate the prime factors of 55290 and 55301.
Prime Factorization of 55290
Prime factors of 55290 are 2, 3, 5, 19, 97. Prime factorization of 55290 in exponential form is:
55290 = 21 × 31 × 51 × 191 × 971
Prime Factorization of 55301
Prime factors of 55301 are 17, 3253. Prime factorization of 55301 in exponential form is:
55301 = 171 × 32531
Now multiplying the highest exponent prime factors to calculate the LCM of 55290 and 55301.
LCM(55290,55301) = 21 × 31 × 51 × 191 × 971 × 171 × 32531
LCM(55290,55301) = 3057592290
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