What is the Least Common Multiple of 54929 and 54939?
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 54929 and 54939 is 3017744331.
LCM(54929,54939) = 3017744331
Least Common Multiple of 54929 and 54939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54929 and 54939, than apply into the LCM equation.
GCF(54929,54939) = 1
LCM(54929,54939) = ( 54929 × 54939) / 1
LCM(54929,54939) = 3017744331 / 1
LCM(54929,54939) = 3017744331
Least Common Multiple (LCM) of 54929 and 54939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54929 and 54939. First we will calculate the prime factors of 54929 and 54939.
Prime Factorization of 54929
Prime factors of 54929 are 7, 19, 59. Prime factorization of 54929 in exponential form is:
54929 = 72 × 191 × 591
Prime Factorization of 54939
Prime factors of 54939 are 3, 18313. Prime factorization of 54939 in exponential form is:
54939 = 31 × 183131
Now multiplying the highest exponent prime factors to calculate the LCM of 54929 and 54939.
LCM(54929,54939) = 72 × 191 × 591 × 31 × 183131
LCM(54929,54939) = 3017744331
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