What is the Least Common Multiple of 97372 and 97379?
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 97372 and 97379 is 9481987988.
LCM(97372,97379) = 9481987988
Least Common Multiple of 97372 and 97379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97372 and 97379, than apply into the LCM equation.
GCF(97372,97379) = 1
LCM(97372,97379) = ( 97372 × 97379) / 1
LCM(97372,97379) = 9481987988 / 1
LCM(97372,97379) = 9481987988
Least Common Multiple (LCM) of 97372 and 97379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97372 and 97379. First we will calculate the prime factors of 97372 and 97379.
Prime Factorization of 97372
Prime factors of 97372 are 2, 11, 2213. Prime factorization of 97372 in exponential form is:
97372 = 22 × 111 × 22131
Prime Factorization of 97379
Prime factors of 97379 are 97379. Prime factorization of 97379 in exponential form is:
97379 = 973791
Now multiplying the highest exponent prime factors to calculate the LCM of 97372 and 97379.
LCM(97372,97379) = 22 × 111 × 22131 × 973791
LCM(97372,97379) = 9481987988
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