What is the Least Common Multiple of 562 and 582?
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 562 and 582 is 163542.
LCM(562,582) = 163542
Least Common Multiple of 562 and 582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 562 and 582, than apply into the LCM equation.
GCF(562,582) = 2
LCM(562,582) = ( 562 × 582) / 2
LCM(562,582) = 327084 / 2
LCM(562,582) = 163542
Least Common Multiple (LCM) of 562 and 582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 562 and 582. First we will calculate the prime factors of 562 and 582.
Prime Factorization of 562
Prime factors of 562 are 2, 281. Prime factorization of 562 in exponential form is:
562 = 21 × 2811
Prime Factorization of 582
Prime factors of 582 are 2, 3, 97. Prime factorization of 582 in exponential form is:
582 = 21 × 31 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 562 and 582.
LCM(562,582) = 21 × 2811 × 31 × 971
LCM(562,582) = 163542
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