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What is the Least Common Multiple of 26151 and 26170?

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 26151 and 26170 is 684371670.

LCM(26151,26170) = 684371670

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Least Common Multiple of 26151 and 26170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26151 and 26170, than apply into the LCM equation.

GCF(26151,26170) = 1
LCM(26151,26170) = ( 26151 × 26170) / 1
LCM(26151,26170) = 684371670 / 1
LCM(26151,26170) = 684371670

Least Common Multiple (LCM) of 26151 and 26170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26151 and 26170. First we will calculate the prime factors of 26151 and 26170.

Prime Factorization of 26151

Prime factors of 26151 are 3, 23, 379. Prime factorization of 26151 in exponential form is:

26151 = 31 × 231 × 3791

Prime Factorization of 26170

Prime factors of 26170 are 2, 5, 2617. Prime factorization of 26170 in exponential form is:

26170 = 21 × 51 × 26171

Now multiplying the highest exponent prime factors to calculate the LCM of 26151 and 26170.

LCM(26151,26170) = 31 × 231 × 3791 × 21 × 51 × 26171
LCM(26151,26170) = 684371670