What is the Least Common Multiple of 69026 and 69041?
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 69026 and 69041 is 4765624066.
LCM(69026,69041) = 4765624066
Least Common Multiple of 69026 and 69041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69026 and 69041, than apply into the LCM equation.
GCF(69026,69041) = 1
LCM(69026,69041) = ( 69026 × 69041) / 1
LCM(69026,69041) = 4765624066 / 1
LCM(69026,69041) = 4765624066
Least Common Multiple (LCM) of 69026 and 69041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69026 and 69041. First we will calculate the prime factors of 69026 and 69041.
Prime Factorization of 69026
Prime factors of 69026 are 2, 34513. Prime factorization of 69026 in exponential form is:
69026 = 21 × 345131
Prime Factorization of 69041
Prime factors of 69041 are 7, 1409. Prime factorization of 69041 in exponential form is:
69041 = 72 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 69026 and 69041.
LCM(69026,69041) = 21 × 345131 × 72 × 14091
LCM(69026,69041) = 4765624066
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