What is the Least Common Multiple of 24121 and 24127?
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 24121 and 24127 is 581967367.
LCM(24121,24127) = 581967367
Least Common Multiple of 24121 and 24127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24121 and 24127, than apply into the LCM equation.
GCF(24121,24127) = 1
LCM(24121,24127) = ( 24121 × 24127) / 1
LCM(24121,24127) = 581967367 / 1
LCM(24121,24127) = 581967367
Least Common Multiple (LCM) of 24121 and 24127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24121 and 24127. First we will calculate the prime factors of 24121 and 24127.
Prime Factorization of 24121
Prime factors of 24121 are 24121. Prime factorization of 24121 in exponential form is:
24121 = 241211
Prime Factorization of 24127
Prime factors of 24127 are 23, 1049. Prime factorization of 24127 in exponential form is:
24127 = 231 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 24121 and 24127.
LCM(24121,24127) = 241211 × 231 × 10491
LCM(24121,24127) = 581967367
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