What is the Least Common Multiple of 55420 and 55427?
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 55420 and 55427 is 3071764340.
LCM(55420,55427) = 3071764340
Least Common Multiple of 55420 and 55427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55420 and 55427, than apply into the LCM equation.
GCF(55420,55427) = 1
LCM(55420,55427) = ( 55420 × 55427) / 1
LCM(55420,55427) = 3071764340 / 1
LCM(55420,55427) = 3071764340
Least Common Multiple (LCM) of 55420 and 55427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55420 and 55427. First we will calculate the prime factors of 55420 and 55427.
Prime Factorization of 55420
Prime factors of 55420 are 2, 5, 17, 163. Prime factorization of 55420 in exponential form is:
55420 = 22 × 51 × 171 × 1631
Prime Factorization of 55427
Prime factors of 55427 are 43, 1289. Prime factorization of 55427 in exponential form is:
55427 = 431 × 12891
Now multiplying the highest exponent prime factors to calculate the LCM of 55420 and 55427.
LCM(55420,55427) = 22 × 51 × 171 × 1631 × 431 × 12891
LCM(55420,55427) = 3071764340
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