What is the Least Common Multiple of 22426 and 22441?
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 22426 and 22441 is 503261866.
LCM(22426,22441) = 503261866
Least Common Multiple of 22426 and 22441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22426 and 22441, than apply into the LCM equation.
GCF(22426,22441) = 1
LCM(22426,22441) = ( 22426 × 22441) / 1
LCM(22426,22441) = 503261866 / 1
LCM(22426,22441) = 503261866
Least Common Multiple (LCM) of 22426 and 22441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22426 and 22441. First we will calculate the prime factors of 22426 and 22441.
Prime Factorization of 22426
Prime factors of 22426 are 2, 11213. Prime factorization of 22426 in exponential form is:
22426 = 21 × 112131
Prime Factorization of 22441
Prime factors of 22441 are 22441. Prime factorization of 22441 in exponential form is:
22441 = 224411
Now multiplying the highest exponent prime factors to calculate the LCM of 22426 and 22441.
LCM(22426,22441) = 21 × 112131 × 224411
LCM(22426,22441) = 503261866
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