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What is the Least Common Multiple of 26450 and 26470?

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 26450 and 26470 is 70013150.

LCM(26450,26470) = 70013150

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Least Common Multiple of 26450 and 26470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26450 and 26470, than apply into the LCM equation.

GCF(26450,26470) = 10
LCM(26450,26470) = ( 26450 × 26470) / 10
LCM(26450,26470) = 700131500 / 10
LCM(26450,26470) = 70013150

Least Common Multiple (LCM) of 26450 and 26470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26450 and 26470. First we will calculate the prime factors of 26450 and 26470.

Prime Factorization of 26450

Prime factors of 26450 are 2, 5, 23. Prime factorization of 26450 in exponential form is:

26450 = 21 × 52 × 232

Prime Factorization of 26470

Prime factors of 26470 are 2, 5, 2647. Prime factorization of 26470 in exponential form is:

26470 = 21 × 51 × 26471

Now multiplying the highest exponent prime factors to calculate the LCM of 26450 and 26470.

LCM(26450,26470) = 21 × 52 × 232 × 26471
LCM(26450,26470) = 70013150