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What is the Least Common Multiple of 26054 and 26061?

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 26054 and 26061 is 96999042.

LCM(26054,26061) = 96999042

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Least Common Multiple of 26054 and 26061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26054 and 26061, than apply into the LCM equation.

GCF(26054,26061) = 7
LCM(26054,26061) = ( 26054 × 26061) / 7
LCM(26054,26061) = 678993294 / 7
LCM(26054,26061) = 96999042

Least Common Multiple (LCM) of 26054 and 26061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26054 and 26061. First we will calculate the prime factors of 26054 and 26061.

Prime Factorization of 26054

Prime factors of 26054 are 2, 7, 1861. Prime factorization of 26054 in exponential form is:

26054 = 21 × 71 × 18611

Prime Factorization of 26061

Prime factors of 26061 are 3, 7, 17, 73. Prime factorization of 26061 in exponential form is:

26061 = 31 × 71 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 26054 and 26061.

LCM(26054,26061) = 21 × 71 × 18611 × 31 × 171 × 731
LCM(26054,26061) = 96999042