What is the Least Common Multiple of 95566 and 95571?
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 95566 and 95571 is 9133338186.
LCM(95566,95571) = 9133338186
Least Common Multiple of 95566 and 95571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95566 and 95571, than apply into the LCM equation.
GCF(95566,95571) = 1
LCM(95566,95571) = ( 95566 × 95571) / 1
LCM(95566,95571) = 9133338186 / 1
LCM(95566,95571) = 9133338186
Least Common Multiple (LCM) of 95566 and 95571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95566 and 95571. First we will calculate the prime factors of 95566 and 95571.
Prime Factorization of 95566
Prime factors of 95566 are 2, 71, 673. Prime factorization of 95566 in exponential form is:
95566 = 21 × 711 × 6731
Prime Factorization of 95571
Prime factors of 95571 are 3, 7, 37, 41. Prime factorization of 95571 in exponential form is:
95571 = 32 × 71 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 95566 and 95571.
LCM(95566,95571) = 21 × 711 × 6731 × 32 × 71 × 371 × 411
LCM(95566,95571) = 9133338186
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