What is the Least Common Multiple of 55281 and 55291?
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 55281 and 55291 is 3056541771.
LCM(55281,55291) = 3056541771
Least Common Multiple of 55281 and 55291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55281 and 55291, than apply into the LCM equation.
GCF(55281,55291) = 1
LCM(55281,55291) = ( 55281 × 55291) / 1
LCM(55281,55291) = 3056541771 / 1
LCM(55281,55291) = 3056541771
Least Common Multiple (LCM) of 55281 and 55291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55281 and 55291. First we will calculate the prime factors of 55281 and 55291.
Prime Factorization of 55281
Prime factors of 55281 are 3, 18427. Prime factorization of 55281 in exponential form is:
55281 = 31 × 184271
Prime Factorization of 55291
Prime factors of 55291 are 55291. Prime factorization of 55291 in exponential form is:
55291 = 552911
Now multiplying the highest exponent prime factors to calculate the LCM of 55281 and 55291.
LCM(55281,55291) = 31 × 184271 × 552911
LCM(55281,55291) = 3056541771
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