What is the Least Common Multiple of 47411 and 47422?
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 47411 and 47422 is 2248324442.
LCM(47411,47422) = 2248324442
Least Common Multiple of 47411 and 47422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47411 and 47422, than apply into the LCM equation.
GCF(47411,47422) = 1
LCM(47411,47422) = ( 47411 × 47422) / 1
LCM(47411,47422) = 2248324442 / 1
LCM(47411,47422) = 2248324442
Least Common Multiple (LCM) of 47411 and 47422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47411 and 47422. First we will calculate the prime factors of 47411 and 47422.
Prime Factorization of 47411
Prime factors of 47411 are 7, 13, 521. Prime factorization of 47411 in exponential form is:
47411 = 71 × 131 × 5211
Prime Factorization of 47422
Prime factors of 47422 are 2, 131, 181. Prime factorization of 47422 in exponential form is:
47422 = 21 × 1311 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 47411 and 47422.
LCM(47411,47422) = 71 × 131 × 5211 × 21 × 1311 × 1811
LCM(47411,47422) = 2248324442
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