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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

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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