What is the Least Common Multiple of 97472 and 97481?
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 97472 and 97481 is 9501668032.
LCM(97472,97481) = 9501668032
Least Common Multiple of 97472 and 97481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97472 and 97481, than apply into the LCM equation.
GCF(97472,97481) = 1
LCM(97472,97481) = ( 97472 × 97481) / 1
LCM(97472,97481) = 9501668032 / 1
LCM(97472,97481) = 9501668032
Least Common Multiple (LCM) of 97472 and 97481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97472 and 97481. First we will calculate the prime factors of 97472 and 97481.
Prime Factorization of 97472
Prime factors of 97472 are 2, 1523. Prime factorization of 97472 in exponential form is:
97472 = 26 × 15231
Prime Factorization of 97481
Prime factors of 97481 are 43, 2267. Prime factorization of 97481 in exponential form is:
97481 = 431 × 22671
Now multiplying the highest exponent prime factors to calculate the LCM of 97472 and 97481.
LCM(97472,97481) = 26 × 15231 × 431 × 22671
LCM(97472,97481) = 9501668032
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