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What is the Least Common Multiple of 26429 and 26435?

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 26429 and 26435 is 698650615.

LCM(26429,26435) = 698650615

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Least Common Multiple of 26429 and 26435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26429 and 26435, than apply into the LCM equation.

GCF(26429,26435) = 1
LCM(26429,26435) = ( 26429 × 26435) / 1
LCM(26429,26435) = 698650615 / 1
LCM(26429,26435) = 698650615

Least Common Multiple (LCM) of 26429 and 26435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26429 and 26435. First we will calculate the prime factors of 26429 and 26435.

Prime Factorization of 26429

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

26429 = 131 × 191 × 1071

Prime Factorization of 26435

Prime factors of 26435 are 5, 17, 311. Prime factorization of 26435 in exponential form is:

26435 = 51 × 171 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 26429 and 26435.

LCM(26429,26435) = 131 × 191 × 1071 × 51 × 171 × 3111
LCM(26429,26435) = 698650615