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What is the Least Common Multiple of 26424 and 26429?

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 26424 and 26429 is 698359896.

LCM(26424,26429) = 698359896

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Least Common Multiple of 26424 and 26429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26424 and 26429, than apply into the LCM equation.

GCF(26424,26429) = 1
LCM(26424,26429) = ( 26424 × 26429) / 1
LCM(26424,26429) = 698359896 / 1
LCM(26424,26429) = 698359896

Least Common Multiple (LCM) of 26424 and 26429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26424 and 26429. First we will calculate the prime factors of 26424 and 26429.

Prime Factorization of 26424

Prime factors of 26424 are 2, 3, 367. Prime factorization of 26424 in exponential form is:

26424 = 23 × 32 × 3671

Prime Factorization of 26429

Prime factors of 26429 are 13, 19, 107. Prime factorization of 26429 in exponential form is:

26429 = 131 × 191 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 26424 and 26429.

LCM(26424,26429) = 23 × 32 × 3671 × 131 × 191 × 1071
LCM(26424,26429) = 698359896