What is the Least Common Multiple of 71617 and 71630?
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 71617 and 71630 is 394609670.
LCM(71617,71630) = 394609670
Least Common Multiple of 71617 and 71630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71617 and 71630, than apply into the LCM equation.
GCF(71617,71630) = 13
LCM(71617,71630) = ( 71617 × 71630) / 13
LCM(71617,71630) = 5129925710 / 13
LCM(71617,71630) = 394609670
Least Common Multiple (LCM) of 71617 and 71630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71617 and 71630. First we will calculate the prime factors of 71617 and 71630.
Prime Factorization of 71617
Prime factors of 71617 are 7, 13, 787. Prime factorization of 71617 in exponential form is:
71617 = 71 × 131 × 7871
Prime Factorization of 71630
Prime factors of 71630 are 2, 5, 13, 19, 29. Prime factorization of 71630 in exponential form is:
71630 = 21 × 51 × 131 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 71617 and 71630.
LCM(71617,71630) = 71 × 131 × 7871 × 21 × 51 × 191 × 291
LCM(71617,71630) = 394609670
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