What is the Least Common Multiple of 55247 and 55254?
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 55247 and 55254 is 3052617738.
LCM(55247,55254) = 3052617738
Least Common Multiple of 55247 and 55254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55247 and 55254, than apply into the LCM equation.
GCF(55247,55254) = 1
LCM(55247,55254) = ( 55247 × 55254) / 1
LCM(55247,55254) = 3052617738 / 1
LCM(55247,55254) = 3052617738
Least Common Multiple (LCM) of 55247 and 55254 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55247 and 55254. First we will calculate the prime factors of 55247 and 55254.
Prime Factorization of 55247
Prime factors of 55247 are 101, 547. Prime factorization of 55247 in exponential form is:
55247 = 1011 × 5471
Prime Factorization of 55254
Prime factors of 55254 are 2, 3, 9209. Prime factorization of 55254 in exponential form is:
55254 = 21 × 31 × 92091
Now multiplying the highest exponent prime factors to calculate the LCM of 55247 and 55254.
LCM(55247,55254) = 1011 × 5471 × 21 × 31 × 92091
LCM(55247,55254) = 3052617738
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