What is the Least Common Multiple of 96371 and 96391?
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 96371 and 96391 is 9289297061.
LCM(96371,96391) = 9289297061
Least Common Multiple of 96371 and 96391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96371 and 96391, than apply into the LCM equation.
GCF(96371,96391) = 1
LCM(96371,96391) = ( 96371 × 96391) / 1
LCM(96371,96391) = 9289297061 / 1
LCM(96371,96391) = 9289297061
Least Common Multiple (LCM) of 96371 and 96391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96371 and 96391. First we will calculate the prime factors of 96371 and 96391.
Prime Factorization of 96371
Prime factors of 96371 are 11, 8761. Prime factorization of 96371 in exponential form is:
96371 = 111 × 87611
Prime Factorization of 96391
Prime factors of 96391 are 41, 2351. Prime factorization of 96391 in exponential form is:
96391 = 411 × 23511
Now multiplying the highest exponent prime factors to calculate the LCM of 96371 and 96391.
LCM(96371,96391) = 111 × 87611 × 411 × 23511
LCM(96371,96391) = 9289297061
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