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What is the Least Common Multiple of 26098 and 26112?

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 26098 and 26112 is 340735488.

LCM(26098,26112) = 340735488

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Least Common Multiple of 26098 and 26112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26098 and 26112, than apply into the LCM equation.

GCF(26098,26112) = 2
LCM(26098,26112) = ( 26098 × 26112) / 2
LCM(26098,26112) = 681470976 / 2
LCM(26098,26112) = 340735488

Least Common Multiple (LCM) of 26098 and 26112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26098 and 26112. First we will calculate the prime factors of 26098 and 26112.

Prime Factorization of 26098

Prime factors of 26098 are 2, 13049. Prime factorization of 26098 in exponential form is:

26098 = 21 × 130491

Prime Factorization of 26112

Prime factors of 26112 are 2, 3, 17. Prime factorization of 26112 in exponential form is:

26112 = 29 × 31 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 26098 and 26112.

LCM(26098,26112) = 29 × 130491 × 31 × 171
LCM(26098,26112) = 340735488