What is the Least Common Multiple of 24122 and 24136?
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 24122 and 24136 is 41586328.
LCM(24122,24136) = 41586328
Least Common Multiple of 24122 and 24136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24122 and 24136, than apply into the LCM equation.
GCF(24122,24136) = 14
LCM(24122,24136) = ( 24122 × 24136) / 14
LCM(24122,24136) = 582208592 / 14
LCM(24122,24136) = 41586328
Least Common Multiple (LCM) of 24122 and 24136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24122 and 24136. First we will calculate the prime factors of 24122 and 24136.
Prime Factorization of 24122
Prime factors of 24122 are 2, 7, 1723. Prime factorization of 24122 in exponential form is:
24122 = 21 × 71 × 17231
Prime Factorization of 24136
Prime factors of 24136 are 2, 7, 431. Prime factorization of 24136 in exponential form is:
24136 = 23 × 71 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 24122 and 24136.
LCM(24122,24136) = 23 × 71 × 17231 × 4311
LCM(24122,24136) = 41586328
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