What is the Least Common Multiple of 39647 and 39661?
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 39647 and 39661 is 1572439667.
LCM(39647,39661) = 1572439667
Least Common Multiple of 39647 and 39661 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39647 and 39661, than apply into the LCM equation.
GCF(39647,39661) = 1
LCM(39647,39661) = ( 39647 × 39661) / 1
LCM(39647,39661) = 1572439667 / 1
LCM(39647,39661) = 1572439667
Least Common Multiple (LCM) of 39647 and 39661 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39647 and 39661. First we will calculate the prime factors of 39647 and 39661.
Prime Factorization of 39647
Prime factors of 39647 are 41, 967. Prime factorization of 39647 in exponential form is:
39647 = 411 × 9671
Prime Factorization of 39661
Prime factors of 39661 are 17, 2333. Prime factorization of 39661 in exponential form is:
39661 = 171 × 23331
Now multiplying the highest exponent prime factors to calculate the LCM of 39647 and 39661.
LCM(39647,39661) = 411 × 9671 × 171 × 23331
LCM(39647,39661) = 1572439667
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