What is the Least Common Multiple of 97121 and 97141?
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 97121 and 97141 is 9434431061.
LCM(97121,97141) = 9434431061
Least Common Multiple of 97121 and 97141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97121 and 97141, than apply into the LCM equation.
GCF(97121,97141) = 1
LCM(97121,97141) = ( 97121 × 97141) / 1
LCM(97121,97141) = 9434431061 / 1
LCM(97121,97141) = 9434431061
Least Common Multiple (LCM) of 97121 and 97141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97121 and 97141. First we will calculate the prime factors of 97121 and 97141.
Prime Factorization of 97121
Prime factors of 97121 are 17, 29, 197. Prime factorization of 97121 in exponential form is:
97121 = 171 × 291 × 1971
Prime Factorization of 97141
Prime factors of 97141 are 11, 8831. Prime factorization of 97141 in exponential form is:
97141 = 111 × 88311
Now multiplying the highest exponent prime factors to calculate the LCM of 97121 and 97141.
LCM(97121,97141) = 171 × 291 × 1971 × 111 × 88311
LCM(97121,97141) = 9434431061
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