What is the Least Common Multiple of 49799 and 49806?
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 49799 and 49806 is 2480288994.
LCM(49799,49806) = 2480288994
Least Common Multiple of 49799 and 49806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49799 and 49806, than apply into the LCM equation.
GCF(49799,49806) = 1
LCM(49799,49806) = ( 49799 × 49806) / 1
LCM(49799,49806) = 2480288994 / 1
LCM(49799,49806) = 2480288994
Least Common Multiple (LCM) of 49799 and 49806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49799 and 49806. First we will calculate the prime factors of 49799 and 49806.
Prime Factorization of 49799
Prime factors of 49799 are 19, 2621. Prime factorization of 49799 in exponential form is:
49799 = 191 × 26211
Prime Factorization of 49806
Prime factors of 49806 are 2, 3, 2767. Prime factorization of 49806 in exponential form is:
49806 = 21 × 32 × 27671
Now multiplying the highest exponent prime factors to calculate the LCM of 49799 and 49806.
LCM(49799,49806) = 191 × 26211 × 21 × 32 × 27671
LCM(49799,49806) = 2480288994
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