What is the Least Common Multiple of 97594 and 97613?
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 97594 and 97613 is 9526443122.
LCM(97594,97613) = 9526443122
Least Common Multiple of 97594 and 97613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97594 and 97613, than apply into the LCM equation.
GCF(97594,97613) = 1
LCM(97594,97613) = ( 97594 × 97613) / 1
LCM(97594,97613) = 9526443122 / 1
LCM(97594,97613) = 9526443122
Least Common Multiple (LCM) of 97594 and 97613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97594 and 97613. First we will calculate the prime factors of 97594 and 97613.
Prime Factorization of 97594
Prime factors of 97594 are 2, 7, 6971. Prime factorization of 97594 in exponential form is:
97594 = 21 × 71 × 69711
Prime Factorization of 97613
Prime factors of 97613 are 97613. Prime factorization of 97613 in exponential form is:
97613 = 976131
Now multiplying the highest exponent prime factors to calculate the LCM of 97594 and 97613.
LCM(97594,97613) = 21 × 71 × 69711 × 976131
LCM(97594,97613) = 9526443122
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