What is the Least Common Multiple of 14841 and 14852?
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 14841 and 14852 is 220418532.
LCM(14841,14852) = 220418532
Least Common Multiple of 14841 and 14852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14841 and 14852, than apply into the LCM equation.
GCF(14841,14852) = 1
LCM(14841,14852) = ( 14841 × 14852) / 1
LCM(14841,14852) = 220418532 / 1
LCM(14841,14852) = 220418532
Least Common Multiple (LCM) of 14841 and 14852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14841 and 14852. First we will calculate the prime factors of 14841 and 14852.
Prime Factorization of 14841
Prime factors of 14841 are 3, 17, 97. Prime factorization of 14841 in exponential form is:
14841 = 32 × 171 × 971
Prime Factorization of 14852
Prime factors of 14852 are 2, 47, 79. Prime factorization of 14852 in exponential form is:
14852 = 22 × 471 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 14841 and 14852.
LCM(14841,14852) = 32 × 171 × 971 × 22 × 471 × 791
LCM(14841,14852) = 220418532
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