What is the Least Common Multiple of 71585 and 71604?
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 71585 and 71604 is 5125772340.
LCM(71585,71604) = 5125772340
Least Common Multiple of 71585 and 71604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71585 and 71604, than apply into the LCM equation.
GCF(71585,71604) = 1
LCM(71585,71604) = ( 71585 × 71604) / 1
LCM(71585,71604) = 5125772340 / 1
LCM(71585,71604) = 5125772340
Least Common Multiple (LCM) of 71585 and 71604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71585 and 71604. First we will calculate the prime factors of 71585 and 71604.
Prime Factorization of 71585
Prime factors of 71585 are 5, 103, 139. Prime factorization of 71585 in exponential form is:
71585 = 51 × 1031 × 1391
Prime Factorization of 71604
Prime factors of 71604 are 2, 3, 13, 17. Prime factorization of 71604 in exponential form is:
71604 = 22 × 34 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 71585 and 71604.
LCM(71585,71604) = 51 × 1031 × 1391 × 22 × 34 × 131 × 171
LCM(71585,71604) = 5125772340
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