What is the Least Common Multiple of 47483 and 47489?
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 47483 and 47489 is 2254920187.
LCM(47483,47489) = 2254920187
Least Common Multiple of 47483 and 47489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47483 and 47489, than apply into the LCM equation.
GCF(47483,47489) = 1
LCM(47483,47489) = ( 47483 × 47489) / 1
LCM(47483,47489) = 2254920187 / 1
LCM(47483,47489) = 2254920187
Least Common Multiple (LCM) of 47483 and 47489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47483 and 47489. First we will calculate the prime factors of 47483 and 47489.
Prime Factorization of 47483
Prime factors of 47483 are 103, 461. Prime factorization of 47483 in exponential form is:
47483 = 1031 × 4611
Prime Factorization of 47489
Prime factors of 47489 are 13, 281. Prime factorization of 47489 in exponential form is:
47489 = 132 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 47483 and 47489.
LCM(47483,47489) = 1031 × 4611 × 132 × 2811
LCM(47483,47489) = 2254920187
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