What is the Least Common Multiple of 97037 and 97041?
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 97037 and 97041 is 9416567517.
LCM(97037,97041) = 9416567517
Least Common Multiple of 97037 and 97041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97037 and 97041, than apply into the LCM equation.
GCF(97037,97041) = 1
LCM(97037,97041) = ( 97037 × 97041) / 1
LCM(97037,97041) = 9416567517 / 1
LCM(97037,97041) = 9416567517
Least Common Multiple (LCM) of 97037 and 97041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97037 and 97041. First we will calculate the prime factors of 97037 and 97041.
Prime Factorization of 97037
Prime factors of 97037 are 23, 4219. Prime factorization of 97037 in exponential form is:
97037 = 231 × 42191
Prime Factorization of 97041
Prime factors of 97041 are 3, 7, 4621. Prime factorization of 97041 in exponential form is:
97041 = 31 × 71 × 46211
Now multiplying the highest exponent prime factors to calculate the LCM of 97037 and 97041.
LCM(97037,97041) = 231 × 42191 × 31 × 71 × 46211
LCM(97037,97041) = 9416567517
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