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What is the Least Common Multiple of 26063 and 26078?

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 26063 and 26078 is 679670914.

LCM(26063,26078) = 679670914

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Least Common Multiple of 26063 and 26078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26063 and 26078, than apply into the LCM equation.

GCF(26063,26078) = 1
LCM(26063,26078) = ( 26063 × 26078) / 1
LCM(26063,26078) = 679670914 / 1
LCM(26063,26078) = 679670914

Least Common Multiple (LCM) of 26063 and 26078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26063 and 26078. First we will calculate the prime factors of 26063 and 26078.

Prime Factorization of 26063

Prime factors of 26063 are 67, 389. Prime factorization of 26063 in exponential form is:

26063 = 671 × 3891

Prime Factorization of 26078

Prime factors of 26078 are 2, 13, 17, 59. Prime factorization of 26078 in exponential form is:

26078 = 21 × 131 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 26063 and 26078.

LCM(26063,26078) = 671 × 3891 × 21 × 131 × 171 × 591
LCM(26063,26078) = 679670914