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What is the Least Common Multiple of 26051 and 26068?

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 26051 and 26068 is 679097468.

LCM(26051,26068) = 679097468

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Least Common Multiple of 26051 and 26068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26051 and 26068, than apply into the LCM equation.

GCF(26051,26068) = 1
LCM(26051,26068) = ( 26051 × 26068) / 1
LCM(26051,26068) = 679097468 / 1
LCM(26051,26068) = 679097468

Least Common Multiple (LCM) of 26051 and 26068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26051 and 26068. First we will calculate the prime factors of 26051 and 26068.

Prime Factorization of 26051

Prime factors of 26051 are 109, 239. Prime factorization of 26051 in exponential form is:

26051 = 1091 × 2391

Prime Factorization of 26068

Prime factors of 26068 are 2, 7, 19. Prime factorization of 26068 in exponential form is:

26068 = 22 × 73 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 26051 and 26068.

LCM(26051,26068) = 1091 × 2391 × 22 × 73 × 191
LCM(26051,26068) = 679097468