What is the Least Common Multiple of 22862 and 22867?
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 22862 and 22867 is 522785354.
LCM(22862,22867) = 522785354
Least Common Multiple of 22862 and 22867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22862 and 22867, than apply into the LCM equation.
GCF(22862,22867) = 1
LCM(22862,22867) = ( 22862 × 22867) / 1
LCM(22862,22867) = 522785354 / 1
LCM(22862,22867) = 522785354
Least Common Multiple (LCM) of 22862 and 22867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22862 and 22867. First we will calculate the prime factors of 22862 and 22867.
Prime Factorization of 22862
Prime factors of 22862 are 2, 7, 23, 71. Prime factorization of 22862 in exponential form is:
22862 = 21 × 71 × 231 × 711
Prime Factorization of 22867
Prime factors of 22867 are 13, 1759. Prime factorization of 22867 in exponential form is:
22867 = 131 × 17591
Now multiplying the highest exponent prime factors to calculate the LCM of 22862 and 22867.
LCM(22862,22867) = 21 × 71 × 231 × 711 × 131 × 17591
LCM(22862,22867) = 522785354
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