What is the Least Common Multiple of 60587 and 60604?
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 60587 and 60604 is 3671814548.
LCM(60587,60604) = 3671814548
Least Common Multiple of 60587 and 60604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60587 and 60604, than apply into the LCM equation.
GCF(60587,60604) = 1
LCM(60587,60604) = ( 60587 × 60604) / 1
LCM(60587,60604) = 3671814548 / 1
LCM(60587,60604) = 3671814548
Least Common Multiple (LCM) of 60587 and 60604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60587 and 60604. First we will calculate the prime factors of 60587 and 60604.
Prime Factorization of 60587
Prime factors of 60587 are 43, 1409. Prime factorization of 60587 in exponential form is:
60587 = 431 × 14091
Prime Factorization of 60604
Prime factors of 60604 are 2, 109, 139. Prime factorization of 60604 in exponential form is:
60604 = 22 × 1091 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 60587 and 60604.
LCM(60587,60604) = 431 × 14091 × 22 × 1091 × 1391
LCM(60587,60604) = 3671814548
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