What is the Least Common Multiple of 54877 and 54897?
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 54877 and 54897 is 3012582669.
LCM(54877,54897) = 3012582669
Least Common Multiple of 54877 and 54897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54877 and 54897, than apply into the LCM equation.
GCF(54877,54897) = 1
LCM(54877,54897) = ( 54877 × 54897) / 1
LCM(54877,54897) = 3012582669 / 1
LCM(54877,54897) = 3012582669
Least Common Multiple (LCM) of 54877 and 54897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54877 and 54897. First we will calculate the prime factors of 54877 and 54897.
Prime Factorization of 54877
Prime factors of 54877 are 54877. Prime factorization of 54877 in exponential form is:
54877 = 548771
Prime Factorization of 54897
Prime factors of 54897 are 3, 29, 631. Prime factorization of 54897 in exponential form is:
54897 = 31 × 291 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 54877 and 54897.
LCM(54877,54897) = 548771 × 31 × 291 × 6311
LCM(54877,54897) = 3012582669
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