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What is the Least Common Multiple of 26057 and 26062?

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 26057 and 26062 is 679097534.

LCM(26057,26062) = 679097534

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Least Common Multiple of 26057 and 26062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26057 and 26062, than apply into the LCM equation.

GCF(26057,26062) = 1
LCM(26057,26062) = ( 26057 × 26062) / 1
LCM(26057,26062) = 679097534 / 1
LCM(26057,26062) = 679097534

Least Common Multiple (LCM) of 26057 and 26062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26057 and 26062. First we will calculate the prime factors of 26057 and 26062.

Prime Factorization of 26057

Prime factors of 26057 are 71, 367. Prime factorization of 26057 in exponential form is:

26057 = 711 × 3671

Prime Factorization of 26062

Prime factors of 26062 are 2, 83, 157. Prime factorization of 26062 in exponential form is:

26062 = 21 × 831 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 26057 and 26062.

LCM(26057,26062) = 711 × 3671 × 21 × 831 × 1571
LCM(26057,26062) = 679097534