What is the Least Common Multiple of 97441 and 97453?
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 97441 and 97453 is 9495917773.
LCM(97441,97453) = 9495917773
Least Common Multiple of 97441 and 97453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97441 and 97453, than apply into the LCM equation.
GCF(97441,97453) = 1
LCM(97441,97453) = ( 97441 × 97453) / 1
LCM(97441,97453) = 9495917773 / 1
LCM(97441,97453) = 9495917773
Least Common Multiple (LCM) of 97441 and 97453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97441 and 97453. First we will calculate the prime factors of 97441 and 97453.
Prime Factorization of 97441
Prime factors of 97441 are 97441. Prime factorization of 97441 in exponential form is:
97441 = 974411
Prime Factorization of 97453
Prime factors of 97453 are 97453. Prime factorization of 97453 in exponential form is:
97453 = 974531
Now multiplying the highest exponent prime factors to calculate the LCM of 97441 and 97453.
LCM(97441,97453) = 974411 × 974531
LCM(97441,97453) = 9495917773
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