What is the Least Common Multiple of 56877 and 56897?
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 56877 and 56897 is 3236130669.
LCM(56877,56897) = 3236130669
Least Common Multiple of 56877 and 56897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56877 and 56897, than apply into the LCM equation.
GCF(56877,56897) = 1
LCM(56877,56897) = ( 56877 × 56897) / 1
LCM(56877,56897) = 3236130669 / 1
LCM(56877,56897) = 3236130669
Least Common Multiple (LCM) of 56877 and 56897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56877 and 56897. First we will calculate the prime factors of 56877 and 56897.
Prime Factorization of 56877
Prime factors of 56877 are 3, 18959. Prime factorization of 56877 in exponential form is:
56877 = 31 × 189591
Prime Factorization of 56897
Prime factors of 56897 are 56897. Prime factorization of 56897 in exponential form is:
56897 = 568971
Now multiplying the highest exponent prime factors to calculate the LCM of 56877 and 56897.
LCM(56877,56897) = 31 × 189591 × 568971
LCM(56877,56897) = 3236130669
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