What is the Least Common Multiple of 49063 and 49083?
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 49063 and 49083 is 2408159229.
LCM(49063,49083) = 2408159229
Least Common Multiple of 49063 and 49083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49063 and 49083, than apply into the LCM equation.
GCF(49063,49083) = 1
LCM(49063,49083) = ( 49063 × 49083) / 1
LCM(49063,49083) = 2408159229 / 1
LCM(49063,49083) = 2408159229
Least Common Multiple (LCM) of 49063 and 49083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49063 and 49083. First we will calculate the prime factors of 49063 and 49083.
Prime Factorization of 49063
Prime factors of 49063 are 7, 43, 163. Prime factorization of 49063 in exponential form is:
49063 = 71 × 431 × 1631
Prime Factorization of 49083
Prime factors of 49083 are 3, 16361. Prime factorization of 49083 in exponential form is:
49083 = 31 × 163611
Now multiplying the highest exponent prime factors to calculate the LCM of 49063 and 49083.
LCM(49063,49083) = 71 × 431 × 1631 × 31 × 163611
LCM(49063,49083) = 2408159229
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