What is the Least Common Multiple of 97385 and 97398?
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 97385 and 97398 is 9485104230.
LCM(97385,97398) = 9485104230
Least Common Multiple of 97385 and 97398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97385 and 97398, than apply into the LCM equation.
GCF(97385,97398) = 1
LCM(97385,97398) = ( 97385 × 97398) / 1
LCM(97385,97398) = 9485104230 / 1
LCM(97385,97398) = 9485104230
Least Common Multiple (LCM) of 97385 and 97398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97385 and 97398. First we will calculate the prime factors of 97385 and 97398.
Prime Factorization of 97385
Prime factors of 97385 are 5, 19477. Prime factorization of 97385 in exponential form is:
97385 = 51 × 194771
Prime Factorization of 97398
Prime factors of 97398 are 2, 3, 7, 773. Prime factorization of 97398 in exponential form is:
97398 = 21 × 32 × 71 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 97385 and 97398.
LCM(97385,97398) = 51 × 194771 × 21 × 32 × 71 × 7731
LCM(97385,97398) = 9485104230
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