What is the Least Common Multiple of 39297 and 39316?
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 39297 and 39316 is 1545000852.
LCM(39297,39316) = 1545000852
Least Common Multiple of 39297 and 39316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39297 and 39316, than apply into the LCM equation.
GCF(39297,39316) = 1
LCM(39297,39316) = ( 39297 × 39316) / 1
LCM(39297,39316) = 1545000852 / 1
LCM(39297,39316) = 1545000852
Least Common Multiple (LCM) of 39297 and 39316 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39297 and 39316. First we will calculate the prime factors of 39297 and 39316.
Prime Factorization of 39297
Prime factors of 39297 are 3, 13099. Prime factorization of 39297 in exponential form is:
39297 = 31 × 130991
Prime Factorization of 39316
Prime factors of 39316 are 2, 9829. Prime factorization of 39316 in exponential form is:
39316 = 22 × 98291
Now multiplying the highest exponent prime factors to calculate the LCM of 39297 and 39316.
LCM(39297,39316) = 31 × 130991 × 22 × 98291
LCM(39297,39316) = 1545000852
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