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What is the Least Common Multiple of 26558 and 26574?

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 26558 and 26574 is 352876146.

LCM(26558,26574) = 352876146

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Least Common Multiple of 26558 and 26574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26558 and 26574, than apply into the LCM equation.

GCF(26558,26574) = 2
LCM(26558,26574) = ( 26558 × 26574) / 2
LCM(26558,26574) = 705752292 / 2
LCM(26558,26574) = 352876146

Least Common Multiple (LCM) of 26558 and 26574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26558 and 26574. First we will calculate the prime factors of 26558 and 26574.

Prime Factorization of 26558

Prime factors of 26558 are 2, 7, 271. Prime factorization of 26558 in exponential form is:

26558 = 21 × 72 × 2711

Prime Factorization of 26574

Prime factors of 26574 are 2, 3, 43, 103. Prime factorization of 26574 in exponential form is:

26574 = 21 × 31 × 431 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 26558 and 26574.

LCM(26558,26574) = 21 × 72 × 2711 × 31 × 431 × 1031
LCM(26558,26574) = 352876146