What is the Least Common Multiple of 14941 and 14961?
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 14941 and 14961 is 223532301.
LCM(14941,14961) = 223532301
Least Common Multiple of 14941 and 14961 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14941 and 14961, than apply into the LCM equation.
GCF(14941,14961) = 1
LCM(14941,14961) = ( 14941 × 14961) / 1
LCM(14941,14961) = 223532301 / 1
LCM(14941,14961) = 223532301
Least Common Multiple (LCM) of 14941 and 14961 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14941 and 14961. First we will calculate the prime factors of 14941 and 14961.
Prime Factorization of 14941
Prime factors of 14941 are 67, 223. Prime factorization of 14941 in exponential form is:
14941 = 671 × 2231
Prime Factorization of 14961
Prime factors of 14961 are 3, 4987. Prime factorization of 14961 in exponential form is:
14961 = 31 × 49871
Now multiplying the highest exponent prime factors to calculate the LCM of 14941 and 14961.
LCM(14941,14961) = 671 × 2231 × 31 × 49871
LCM(14941,14961) = 223532301
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