What is the Least Common Multiple of 2562 and 2573?
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 2562 and 2573 is 6592026.
LCM(2562,2573) = 6592026
Least Common Multiple of 2562 and 2573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2562 and 2573, than apply into the LCM equation.
GCF(2562,2573) = 1
LCM(2562,2573) = ( 2562 × 2573) / 1
LCM(2562,2573) = 6592026 / 1
LCM(2562,2573) = 6592026
Least Common Multiple (LCM) of 2562 and 2573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2562 and 2573. First we will calculate the prime factors of 2562 and 2573.
Prime Factorization of 2562
Prime factors of 2562 are 2, 3, 7, 61. Prime factorization of 2562 in exponential form is:
2562 = 21 × 31 × 71 × 611
Prime Factorization of 2573
Prime factors of 2573 are 31, 83. Prime factorization of 2573 in exponential form is:
2573 = 311 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 2562 and 2573.
LCM(2562,2573) = 21 × 31 × 71 × 611 × 311 × 831
LCM(2562,2573) = 6592026
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