What is the Least Common Multiple of 29411 and 29426?
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 29411 and 29426 is 865448086.
LCM(29411,29426) = 865448086
Least Common Multiple of 29411 and 29426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29411 and 29426, than apply into the LCM equation.
GCF(29411,29426) = 1
LCM(29411,29426) = ( 29411 × 29426) / 1
LCM(29411,29426) = 865448086 / 1
LCM(29411,29426) = 865448086
Least Common Multiple (LCM) of 29411 and 29426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29411 and 29426. First we will calculate the prime factors of 29411 and 29426.
Prime Factorization of 29411
Prime factors of 29411 are 29411. Prime factorization of 29411 in exponential form is:
29411 = 294111
Prime Factorization of 29426
Prime factors of 29426 are 2, 14713. Prime factorization of 29426 in exponential form is:
29426 = 21 × 147131
Now multiplying the highest exponent prime factors to calculate the LCM of 29411 and 29426.
LCM(29411,29426) = 294111 × 21 × 147131
LCM(29411,29426) = 865448086
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