What is the Least Common Multiple of 28574 and 28586?
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 28574 and 28586 is 408408182.
LCM(28574,28586) = 408408182
Least Common Multiple of 28574 and 28586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28574 and 28586, than apply into the LCM equation.
GCF(28574,28586) = 2
LCM(28574,28586) = ( 28574 × 28586) / 2
LCM(28574,28586) = 816816364 / 2
LCM(28574,28586) = 408408182
Least Common Multiple (LCM) of 28574 and 28586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28574 and 28586. First we will calculate the prime factors of 28574 and 28586.
Prime Factorization of 28574
Prime factors of 28574 are 2, 7, 13, 157. Prime factorization of 28574 in exponential form is:
28574 = 21 × 71 × 131 × 1571
Prime Factorization of 28586
Prime factors of 28586 are 2, 14293. Prime factorization of 28586 in exponential form is:
28586 = 21 × 142931
Now multiplying the highest exponent prime factors to calculate the LCM of 28574 and 28586.
LCM(28574,28586) = 21 × 71 × 131 × 1571 × 142931
LCM(28574,28586) = 408408182
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