What is the Least Common Multiple of 39596 and 39614?
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 39596 and 39614 is 784277972.
LCM(39596,39614) = 784277972
Least Common Multiple of 39596 and 39614 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39596 and 39614, than apply into the LCM equation.
GCF(39596,39614) = 2
LCM(39596,39614) = ( 39596 × 39614) / 2
LCM(39596,39614) = 1568555944 / 2
LCM(39596,39614) = 784277972
Least Common Multiple (LCM) of 39596 and 39614 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39596 and 39614. First we will calculate the prime factors of 39596 and 39614.
Prime Factorization of 39596
Prime factors of 39596 are 2, 19, 521. Prime factorization of 39596 in exponential form is:
39596 = 22 × 191 × 5211
Prime Factorization of 39614
Prime factors of 39614 are 2, 29, 683. Prime factorization of 39614 in exponential form is:
39614 = 21 × 291 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 39596 and 39614.
LCM(39596,39614) = 22 × 191 × 5211 × 291 × 6831
LCM(39596,39614) = 784277972
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