What is the Least Common Multiple of 47411 and 47415?
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 47415 is 2247992565.
LCM(47411,47415) = 2247992565
Least Common Multiple of 47411 and 47415 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 47415, than apply into the LCM equation.
GCF(47411,47415) = 1
LCM(47411,47415) = ( 47411 × 47415) / 1
LCM(47411,47415) = 2247992565 / 1
LCM(47411,47415) = 2247992565
Least Common Multiple (LCM) of 47411 and 47415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47411 and 47415. First we will calculate the prime factors of 47411 and 47415.
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 47415
Prime factors of 47415 are 3, 5, 29, 109. Prime factorization of 47415 in exponential form is:
47415 = 31 × 51 × 291 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 47411 and 47415.
LCM(47411,47415) = 71 × 131 × 5211 × 31 × 51 × 291 × 1091
LCM(47411,47415) = 2247992565
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