What is the Least Common Multiple of 42865 and 42869?
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 42865 and 42869 is 1837579685.
LCM(42865,42869) = 1837579685
Least Common Multiple of 42865 and 42869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42865 and 42869, than apply into the LCM equation.
GCF(42865,42869) = 1
LCM(42865,42869) = ( 42865 × 42869) / 1
LCM(42865,42869) = 1837579685 / 1
LCM(42865,42869) = 1837579685
Least Common Multiple (LCM) of 42865 and 42869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42865 and 42869. First we will calculate the prime factors of 42865 and 42869.
Prime Factorization of 42865
Prime factors of 42865 are 5, 8573. Prime factorization of 42865 in exponential form is:
42865 = 51 × 85731
Prime Factorization of 42869
Prime factors of 42869 are 163, 263. Prime factorization of 42869 in exponential form is:
42869 = 1631 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 42865 and 42869.
LCM(42865,42869) = 51 × 85731 × 1631 × 2631
LCM(42865,42869) = 1837579685
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