What is the Least Common Multiple of 39476 and 39481?
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 39476 and 39481 is 1558551956.
LCM(39476,39481) = 1558551956
Least Common Multiple of 39476 and 39481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39476 and 39481, than apply into the LCM equation.
GCF(39476,39481) = 1
LCM(39476,39481) = ( 39476 × 39481) / 1
LCM(39476,39481) = 1558551956 / 1
LCM(39476,39481) = 1558551956
Least Common Multiple (LCM) of 39476 and 39481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39476 and 39481. First we will calculate the prime factors of 39476 and 39481.
Prime Factorization of 39476
Prime factors of 39476 are 2, 71, 139. Prime factorization of 39476 in exponential form is:
39476 = 22 × 711 × 1391
Prime Factorization of 39481
Prime factors of 39481 are 13, 3037. Prime factorization of 39481 in exponential form is:
39481 = 131 × 30371
Now multiplying the highest exponent prime factors to calculate the LCM of 39476 and 39481.
LCM(39476,39481) = 22 × 711 × 1391 × 131 × 30371
LCM(39476,39481) = 1558551956
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