What is the Least Common Multiple of 97373 and 97392?
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 97373 and 97392 is 9483351216.
LCM(97373,97392) = 9483351216
Least Common Multiple of 97373 and 97392 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97373 and 97392, than apply into the LCM equation.
GCF(97373,97392) = 1
LCM(97373,97392) = ( 97373 × 97392) / 1
LCM(97373,97392) = 9483351216 / 1
LCM(97373,97392) = 9483351216
Least Common Multiple (LCM) of 97373 and 97392 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97373 and 97392. First we will calculate the prime factors of 97373 and 97392.
Prime Factorization of 97373
Prime factors of 97373 are 97373. Prime factorization of 97373 in exponential form is:
97373 = 973731
Prime Factorization of 97392
Prime factors of 97392 are 2, 3, 2029. Prime factorization of 97392 in exponential form is:
97392 = 24 × 31 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 97373 and 97392.
LCM(97373,97392) = 973731 × 24 × 31 × 20291
LCM(97373,97392) = 9483351216
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