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What is the Least Common Multiple of 26061 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 26061 and 26068 is 97051164.

LCM(26061,26068) = 97051164

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Least Common Multiple of 26061 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 26061 and 26068, than apply into the LCM equation.

GCF(26061,26068) = 7
LCM(26061,26068) = ( 26061 × 26068) / 7
LCM(26061,26068) = 679358148 / 7
LCM(26061,26068) = 97051164

Least Common Multiple (LCM) of 26061 and 26068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26061 and 26068. First we will calculate the prime factors of 26061 and 26068.

Prime Factorization of 26061

Prime factors of 26061 are 3, 7, 17, 73. Prime factorization of 26061 in exponential form is:

26061 = 31 × 71 × 171 × 731

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 26061 and 26068.

LCM(26061,26068) = 31 × 73 × 171 × 731 × 22 × 191
LCM(26061,26068) = 97051164