What is the Least Common Multiple of 12570 and 12575?
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 12570 and 12575 is 31613550.
LCM(12570,12575) = 31613550
Least Common Multiple of 12570 and 12575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12570 and 12575, than apply into the LCM equation.
GCF(12570,12575) = 5
LCM(12570,12575) = ( 12570 × 12575) / 5
LCM(12570,12575) = 158067750 / 5
LCM(12570,12575) = 31613550
Least Common Multiple (LCM) of 12570 and 12575 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12570 and 12575. First we will calculate the prime factors of 12570 and 12575.
Prime Factorization of 12570
Prime factors of 12570 are 2, 3, 5, 419. Prime factorization of 12570 in exponential form is:
12570 = 21 × 31 × 51 × 4191
Prime Factorization of 12575
Prime factors of 12575 are 5, 503. Prime factorization of 12575 in exponential form is:
12575 = 52 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 12570 and 12575.
LCM(12570,12575) = 21 × 31 × 52 × 4191 × 5031
LCM(12570,12575) = 31613550
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