What is the Least Common Multiple of 49795 and 49814?
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 49795 and 49814 is 2480488130.
LCM(49795,49814) = 2480488130
Least Common Multiple of 49795 and 49814 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49795 and 49814, than apply into the LCM equation.
GCF(49795,49814) = 1
LCM(49795,49814) = ( 49795 × 49814) / 1
LCM(49795,49814) = 2480488130 / 1
LCM(49795,49814) = 2480488130
Least Common Multiple (LCM) of 49795 and 49814 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49795 and 49814. First we will calculate the prime factors of 49795 and 49814.
Prime Factorization of 49795
Prime factors of 49795 are 5, 23, 433. Prime factorization of 49795 in exponential form is:
49795 = 51 × 231 × 4331
Prime Factorization of 49814
Prime factors of 49814 are 2, 24907. Prime factorization of 49814 in exponential form is:
49814 = 21 × 249071
Now multiplying the highest exponent prime factors to calculate the LCM of 49795 and 49814.
LCM(49795,49814) = 51 × 231 × 4331 × 21 × 249071
LCM(49795,49814) = 2480488130
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