What is the Least Common Multiple of 49285 and 49299?
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 49285 and 49299 is 2429701215.
LCM(49285,49299) = 2429701215
Least Common Multiple of 49285 and 49299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49285 and 49299, than apply into the LCM equation.
GCF(49285,49299) = 1
LCM(49285,49299) = ( 49285 × 49299) / 1
LCM(49285,49299) = 2429701215 / 1
LCM(49285,49299) = 2429701215
Least Common Multiple (LCM) of 49285 and 49299 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49285 and 49299. First we will calculate the prime factors of 49285 and 49299.
Prime Factorization of 49285
Prime factors of 49285 are 5, 9857. Prime factorization of 49285 in exponential form is:
49285 = 51 × 98571
Prime Factorization of 49299
Prime factors of 49299 are 3, 16433. Prime factorization of 49299 in exponential form is:
49299 = 31 × 164331
Now multiplying the highest exponent prime factors to calculate the LCM of 49285 and 49299.
LCM(49285,49299) = 51 × 98571 × 31 × 164331
LCM(49285,49299) = 2429701215
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