What is the Least Common Multiple of 39404 and 39408?
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 39404 and 39408 is 388208208.
LCM(39404,39408) = 388208208
Least Common Multiple of 39404 and 39408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39404 and 39408, than apply into the LCM equation.
GCF(39404,39408) = 4
LCM(39404,39408) = ( 39404 × 39408) / 4
LCM(39404,39408) = 1552832832 / 4
LCM(39404,39408) = 388208208
Least Common Multiple (LCM) of 39404 and 39408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39404 and 39408. First we will calculate the prime factors of 39404 and 39408.
Prime Factorization of 39404
Prime factors of 39404 are 2, 9851. Prime factorization of 39404 in exponential form is:
39404 = 22 × 98511
Prime Factorization of 39408
Prime factors of 39408 are 2, 3, 821. Prime factorization of 39408 in exponential form is:
39408 = 24 × 31 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 39404 and 39408.
LCM(39404,39408) = 24 × 98511 × 31 × 8211
LCM(39404,39408) = 388208208
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