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What is the Least Common Multiple of 26528 and 26546?

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 26528 and 26546 is 352106144.

LCM(26528,26546) = 352106144

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Least Common Multiple of 26528 and 26546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26528 and 26546, than apply into the LCM equation.

GCF(26528,26546) = 2
LCM(26528,26546) = ( 26528 × 26546) / 2
LCM(26528,26546) = 704212288 / 2
LCM(26528,26546) = 352106144

Least Common Multiple (LCM) of 26528 and 26546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26528 and 26546. First we will calculate the prime factors of 26528 and 26546.

Prime Factorization of 26528

Prime factors of 26528 are 2, 829. Prime factorization of 26528 in exponential form is:

26528 = 25 × 8291

Prime Factorization of 26546

Prime factors of 26546 are 2, 13, 1021. Prime factorization of 26546 in exponential form is:

26546 = 21 × 131 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 26528 and 26546.

LCM(26528,26546) = 25 × 8291 × 131 × 10211
LCM(26528,26546) = 352106144