What is the Least Common Multiple of 22786 and 22792?
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 22786 and 22792 is 259669256.
LCM(22786,22792) = 259669256
Least Common Multiple of 22786 and 22792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22786 and 22792, than apply into the LCM equation.
GCF(22786,22792) = 2
LCM(22786,22792) = ( 22786 × 22792) / 2
LCM(22786,22792) = 519338512 / 2
LCM(22786,22792) = 259669256
Least Common Multiple (LCM) of 22786 and 22792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22786 and 22792. First we will calculate the prime factors of 22786 and 22792.
Prime Factorization of 22786
Prime factors of 22786 are 2, 11393. Prime factorization of 22786 in exponential form is:
22786 = 21 × 113931
Prime Factorization of 22792
Prime factors of 22792 are 2, 7, 11, 37. Prime factorization of 22792 in exponential form is:
22792 = 23 × 71 × 111 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 22786 and 22792.
LCM(22786,22792) = 23 × 113931 × 71 × 111 × 371
LCM(22786,22792) = 259669256
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