What is the Least Common Multiple of 54287 and 54301?
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 54287 and 54301 is 2947838387.
LCM(54287,54301) = 2947838387
Least Common Multiple of 54287 and 54301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54287 and 54301, than apply into the LCM equation.
GCF(54287,54301) = 1
LCM(54287,54301) = ( 54287 × 54301) / 1
LCM(54287,54301) = 2947838387 / 1
LCM(54287,54301) = 2947838387
Least Common Multiple (LCM) of 54287 and 54301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54287 and 54301. First we will calculate the prime factors of 54287 and 54301.
Prime Factorization of 54287
Prime factors of 54287 are 54287. Prime factorization of 54287 in exponential form is:
54287 = 542871
Prime Factorization of 54301
Prime factors of 54301 are 13, 4177. Prime factorization of 54301 in exponential form is:
54301 = 131 × 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 54287 and 54301.
LCM(54287,54301) = 542871 × 131 × 41771
LCM(54287,54301) = 2947838387
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