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What is the Least Common Multiple of 26439 and 26450?

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 26439 and 26450 is 699311550.

LCM(26439,26450) = 699311550

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Least Common Multiple of 26439 and 26450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26439 and 26450, than apply into the LCM equation.

GCF(26439,26450) = 1
LCM(26439,26450) = ( 26439 × 26450) / 1
LCM(26439,26450) = 699311550 / 1
LCM(26439,26450) = 699311550

Least Common Multiple (LCM) of 26439 and 26450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26439 and 26450. First we will calculate the prime factors of 26439 and 26450.

Prime Factorization of 26439

Prime factors of 26439 are 3, 7, 1259. Prime factorization of 26439 in exponential form is:

26439 = 31 × 71 × 12591

Prime Factorization of 26450

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

26450 = 21 × 52 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 26439 and 26450.

LCM(26439,26450) = 31 × 71 × 12591 × 21 × 52 × 232
LCM(26439,26450) = 699311550