What is the Least Common Multiple of 1587 and 1606?
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 1587 and 1606 is 2548722.
LCM(1587,1606) = 2548722
Least Common Multiple of 1587 and 1606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1587 and 1606, than apply into the LCM equation.
GCF(1587,1606) = 1
LCM(1587,1606) = ( 1587 × 1606) / 1
LCM(1587,1606) = 2548722 / 1
LCM(1587,1606) = 2548722
Least Common Multiple (LCM) of 1587 and 1606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1587 and 1606. First we will calculate the prime factors of 1587 and 1606.
Prime Factorization of 1587
Prime factors of 1587 are 3, 23. Prime factorization of 1587 in exponential form is:
1587 = 31 × 232
Prime Factorization of 1606
Prime factors of 1606 are 2, 11, 73. Prime factorization of 1606 in exponential form is:
1606 = 21 × 111 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 1587 and 1606.
LCM(1587,1606) = 31 × 232 × 21 × 111 × 731
LCM(1587,1606) = 2548722
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