What is the Least Common Multiple of 42881 and 42900?
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 42881 and 42900 is 1839594900.
LCM(42881,42900) = 1839594900
Least Common Multiple of 42881 and 42900 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42881 and 42900, than apply into the LCM equation.
GCF(42881,42900) = 1
LCM(42881,42900) = ( 42881 × 42900) / 1
LCM(42881,42900) = 1839594900 / 1
LCM(42881,42900) = 1839594900
Least Common Multiple (LCM) of 42881 and 42900 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42881 and 42900. First we will calculate the prime factors of 42881 and 42900.
Prime Factorization of 42881
Prime factors of 42881 are 137, 313. Prime factorization of 42881 in exponential form is:
42881 = 1371 × 3131
Prime Factorization of 42900
Prime factors of 42900 are 2, 3, 5, 11, 13. Prime factorization of 42900 in exponential form is:
42900 = 22 × 31 × 52 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 42881 and 42900.
LCM(42881,42900) = 1371 × 3131 × 22 × 31 × 52 × 111 × 131
LCM(42881,42900) = 1839594900
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