What is the Least Common Multiple of 97034 and 97045?
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 97034 and 97045 is 9416664530.
LCM(97034,97045) = 9416664530
Least Common Multiple of 97034 and 97045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97034 and 97045, than apply into the LCM equation.
GCF(97034,97045) = 1
LCM(97034,97045) = ( 97034 × 97045) / 1
LCM(97034,97045) = 9416664530 / 1
LCM(97034,97045) = 9416664530
Least Common Multiple (LCM) of 97034 and 97045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97034 and 97045. First we will calculate the prime factors of 97034 and 97045.
Prime Factorization of 97034
Prime factors of 97034 are 2, 7, 29, 239. Prime factorization of 97034 in exponential form is:
97034 = 21 × 71 × 291 × 2391
Prime Factorization of 97045
Prime factors of 97045 are 5, 13, 1493. Prime factorization of 97045 in exponential form is:
97045 = 51 × 131 × 14931
Now multiplying the highest exponent prime factors to calculate the LCM of 97034 and 97045.
LCM(97034,97045) = 21 × 71 × 291 × 2391 × 51 × 131 × 14931
LCM(97034,97045) = 9416664530
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