What is the Least Common Multiple of 49263 and 49270?
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 49263 and 49270 is 2427188010.
LCM(49263,49270) = 2427188010
Least Common Multiple of 49263 and 49270 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49263 and 49270, than apply into the LCM equation.
GCF(49263,49270) = 1
LCM(49263,49270) = ( 49263 × 49270) / 1
LCM(49263,49270) = 2427188010 / 1
LCM(49263,49270) = 2427188010
Least Common Multiple (LCM) of 49263 and 49270 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49263 and 49270. First we will calculate the prime factors of 49263 and 49270.
Prime Factorization of 49263
Prime factors of 49263 are 3, 16421. Prime factorization of 49263 in exponential form is:
49263 = 31 × 164211
Prime Factorization of 49270
Prime factors of 49270 are 2, 5, 13, 379. Prime factorization of 49270 in exponential form is:
49270 = 21 × 51 × 131 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 49263 and 49270.
LCM(49263,49270) = 31 × 164211 × 21 × 51 × 131 × 3791
LCM(49263,49270) = 2427188010
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