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What is the Least Common Multiple of 26466 and 26481?

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 26466 and 26481 is 233615382.

LCM(26466,26481) = 233615382

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Least Common Multiple of 26466 and 26481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26466 and 26481, than apply into the LCM equation.

GCF(26466,26481) = 3
LCM(26466,26481) = ( 26466 × 26481) / 3
LCM(26466,26481) = 700846146 / 3
LCM(26466,26481) = 233615382

Least Common Multiple (LCM) of 26466 and 26481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26466 and 26481. First we will calculate the prime factors of 26466 and 26481.

Prime Factorization of 26466

Prime factors of 26466 are 2, 3, 11, 401. Prime factorization of 26466 in exponential form is:

26466 = 21 × 31 × 111 × 4011

Prime Factorization of 26481

Prime factors of 26481 are 3, 7, 13, 97. Prime factorization of 26481 in exponential form is:

26481 = 31 × 71 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 26466 and 26481.

LCM(26466,26481) = 21 × 31 × 111 × 4011 × 71 × 131 × 971
LCM(26466,26481) = 233615382