What is the Least Common Multiple of 41596 and 41604?
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 41596 and 41604 is 432639996.
LCM(41596,41604) = 432639996
Least Common Multiple of 41596 and 41604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41596 and 41604, than apply into the LCM equation.
GCF(41596,41604) = 4
LCM(41596,41604) = ( 41596 × 41604) / 4
LCM(41596,41604) = 1730559984 / 4
LCM(41596,41604) = 432639996
Least Common Multiple (LCM) of 41596 and 41604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41596 and 41604. First we will calculate the prime factors of 41596 and 41604.
Prime Factorization of 41596
Prime factors of 41596 are 2, 10399. Prime factorization of 41596 in exponential form is:
41596 = 22 × 103991
Prime Factorization of 41604
Prime factors of 41604 are 2, 3, 3467. Prime factorization of 41604 in exponential form is:
41604 = 22 × 31 × 34671
Now multiplying the highest exponent prime factors to calculate the LCM of 41596 and 41604.
LCM(41596,41604) = 22 × 103991 × 31 × 34671
LCM(41596,41604) = 432639996
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