What is the Least Common Multiple of 41030 and 41043?
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 41030 and 41043 is 1683994290.
LCM(41030,41043) = 1683994290
Least Common Multiple of 41030 and 41043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41030 and 41043, than apply into the LCM equation.
GCF(41030,41043) = 1
LCM(41030,41043) = ( 41030 × 41043) / 1
LCM(41030,41043) = 1683994290 / 1
LCM(41030,41043) = 1683994290
Least Common Multiple (LCM) of 41030 and 41043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41030 and 41043. First we will calculate the prime factors of 41030 and 41043.
Prime Factorization of 41030
Prime factors of 41030 are 2, 5, 11, 373. Prime factorization of 41030 in exponential form is:
41030 = 21 × 51 × 111 × 3731
Prime Factorization of 41043
Prime factors of 41043 are 3, 13681. Prime factorization of 41043 in exponential form is:
41043 = 31 × 136811
Now multiplying the highest exponent prime factors to calculate the LCM of 41030 and 41043.
LCM(41030,41043) = 21 × 51 × 111 × 3731 × 31 × 136811
LCM(41030,41043) = 1683994290
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