What is the Least Common Multiple of 50847 and 50866?
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 50847 and 50866 is 2586383502.
LCM(50847,50866) = 2586383502
Least Common Multiple of 50847 and 50866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50847 and 50866, than apply into the LCM equation.
GCF(50847,50866) = 1
LCM(50847,50866) = ( 50847 × 50866) / 1
LCM(50847,50866) = 2586383502 / 1
LCM(50847,50866) = 2586383502
Least Common Multiple (LCM) of 50847 and 50866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50847 and 50866. First we will calculate the prime factors of 50847 and 50866.
Prime Factorization of 50847
Prime factors of 50847 are 3, 17, 997. Prime factorization of 50847 in exponential form is:
50847 = 31 × 171 × 9971
Prime Factorization of 50866
Prime factors of 50866 are 2, 29, 877. Prime factorization of 50866 in exponential form is:
50866 = 21 × 291 × 8771
Now multiplying the highest exponent prime factors to calculate the LCM of 50847 and 50866.
LCM(50847,50866) = 31 × 171 × 9971 × 21 × 291 × 8771
LCM(50847,50866) = 2586383502
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