What is the Least Common Multiple of 307 and 317?
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 307 and 317 is 97319.
LCM(307,317) = 97319
Least Common Multiple of 307 and 317 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307 and 317, than apply into the LCM equation.
GCF(307,317) = 1
LCM(307,317) = ( 307 × 317) / 1
LCM(307,317) = 97319 / 1
LCM(307,317) = 97319
Least Common Multiple (LCM) of 307 and 317 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 307 and 317. First we will calculate the prime factors of 307 and 317.
Prime Factorization of 307
Prime factors of 307 are 307. Prime factorization of 307 in exponential form is:
307 = 3071
Prime Factorization of 317
Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:
317 = 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 307 and 317.
LCM(307,317) = 3071 × 3171
LCM(307,317) = 97319
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