What is the Least Common Multiple of 71631 and 71639?
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 71631 and 71639 is 5131573209.
LCM(71631,71639) = 5131573209
Least Common Multiple of 71631 and 71639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71631 and 71639, than apply into the LCM equation.
GCF(71631,71639) = 1
LCM(71631,71639) = ( 71631 × 71639) / 1
LCM(71631,71639) = 5131573209 / 1
LCM(71631,71639) = 5131573209
Least Common Multiple (LCM) of 71631 and 71639 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71631 and 71639. First we will calculate the prime factors of 71631 and 71639.
Prime Factorization of 71631
Prime factors of 71631 are 3, 7, 379. Prime factorization of 71631 in exponential form is:
71631 = 33 × 71 × 3791
Prime Factorization of 71639
Prime factors of 71639 are 71, 1009. Prime factorization of 71639 in exponential form is:
71639 = 711 × 10091
Now multiplying the highest exponent prime factors to calculate the LCM of 71631 and 71639.
LCM(71631,71639) = 33 × 71 × 3791 × 711 × 10091
LCM(71631,71639) = 5131573209
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