What is the Least Common Multiple of 41420 and 41430?
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 41420 and 41430 is 171603060.
LCM(41420,41430) = 171603060
Least Common Multiple of 41420 and 41430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41420 and 41430, than apply into the LCM equation.
GCF(41420,41430) = 10
LCM(41420,41430) = ( 41420 × 41430) / 10
LCM(41420,41430) = 1716030600 / 10
LCM(41420,41430) = 171603060
Least Common Multiple (LCM) of 41420 and 41430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41420 and 41430. First we will calculate the prime factors of 41420 and 41430.
Prime Factorization of 41420
Prime factors of 41420 are 2, 5, 19, 109. Prime factorization of 41420 in exponential form is:
41420 = 22 × 51 × 191 × 1091
Prime Factorization of 41430
Prime factors of 41430 are 2, 3, 5, 1381. Prime factorization of 41430 in exponential form is:
41430 = 21 × 31 × 51 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 41420 and 41430.
LCM(41420,41430) = 22 × 51 × 191 × 1091 × 31 × 13811
LCM(41420,41430) = 171603060
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