What is the Least Common Multiple of 24422 and 24441?
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 24422 and 24441 is 596898102.
LCM(24422,24441) = 596898102
Least Common Multiple of 24422 and 24441 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24422 and 24441, than apply into the LCM equation.
GCF(24422,24441) = 1
LCM(24422,24441) = ( 24422 × 24441) / 1
LCM(24422,24441) = 596898102 / 1
LCM(24422,24441) = 596898102
Least Common Multiple (LCM) of 24422 and 24441 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24422 and 24441. First we will calculate the prime factors of 24422 and 24441.
Prime Factorization of 24422
Prime factors of 24422 are 2, 12211. Prime factorization of 24422 in exponential form is:
24422 = 21 × 122111
Prime Factorization of 24441
Prime factors of 24441 are 3, 8147. Prime factorization of 24441 in exponential form is:
24441 = 31 × 81471
Now multiplying the highest exponent prime factors to calculate the LCM of 24422 and 24441.
LCM(24422,24441) = 21 × 122111 × 31 × 81471
LCM(24422,24441) = 596898102
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