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What is the Least Common Multiple of 54026 and 54041?

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 54026 and 54041 is 2919619066.

LCM(54026,54041) = 2919619066

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Least Common Multiple of 54026 and 54041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54026 and 54041, than apply into the LCM equation.

GCF(54026,54041) = 1
LCM(54026,54041) = ( 54026 × 54041) / 1
LCM(54026,54041) = 2919619066 / 1
LCM(54026,54041) = 2919619066

Least Common Multiple (LCM) of 54026 and 54041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54026 and 54041. First we will calculate the prime factors of 54026 and 54041.

Prime Factorization of 54026

Prime factors of 54026 are 2, 7, 17, 227. Prime factorization of 54026 in exponential form is:

54026 = 21 × 71 × 171 × 2271

Prime Factorization of 54041

Prime factors of 54041 are 13, 4157. Prime factorization of 54041 in exponential form is:

54041 = 131 × 41571

Now multiplying the highest exponent prime factors to calculate the LCM of 54026 and 54041.

LCM(54026,54041) = 21 × 71 × 171 × 2271 × 131 × 41571
LCM(54026,54041) = 2919619066