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What is the Least Common Multiple of 26026 and 26041?

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 26026 and 26041 is 677743066.

LCM(26026,26041) = 677743066

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Least Common Multiple of 26026 and 26041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26026 and 26041, than apply into the LCM equation.

GCF(26026,26041) = 1
LCM(26026,26041) = ( 26026 × 26041) / 1
LCM(26026,26041) = 677743066 / 1
LCM(26026,26041) = 677743066

Least Common Multiple (LCM) of 26026 and 26041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26026 and 26041. First we will calculate the prime factors of 26026 and 26041.

Prime Factorization of 26026

Prime factors of 26026 are 2, 7, 11, 13. Prime factorization of 26026 in exponential form is:

26026 = 21 × 71 × 111 × 132

Prime Factorization of 26041

Prime factors of 26041 are 26041. Prime factorization of 26041 in exponential form is:

26041 = 260411

Now multiplying the highest exponent prime factors to calculate the LCM of 26026 and 26041.

LCM(26026,26041) = 21 × 71 × 111 × 132 × 260411
LCM(26026,26041) = 677743066