What is the Least Common Multiple of 52587 and 52599?
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 52587 and 52599 is 922007871.
LCM(52587,52599) = 922007871
Least Common Multiple of 52587 and 52599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52587 and 52599, than apply into the LCM equation.
GCF(52587,52599) = 3
LCM(52587,52599) = ( 52587 × 52599) / 3
LCM(52587,52599) = 2766023613 / 3
LCM(52587,52599) = 922007871
Least Common Multiple (LCM) of 52587 and 52599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52587 and 52599. First we will calculate the prime factors of 52587 and 52599.
Prime Factorization of 52587
Prime factors of 52587 are 3, 5843. Prime factorization of 52587 in exponential form is:
52587 = 32 × 58431
Prime Factorization of 52599
Prime factors of 52599 are 3, 89, 197. Prime factorization of 52599 in exponential form is:
52599 = 31 × 891 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 52587 and 52599.
LCM(52587,52599) = 32 × 58431 × 891 × 1971
LCM(52587,52599) = 922007871
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