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What is the Least Common Multiple of 26061 and 26081?

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 26081 is 679696941.

LCM(26061,26081) = 679696941

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Least Common Multiple of 26061 and 26081 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 26081, than apply into the LCM equation.

GCF(26061,26081) = 1
LCM(26061,26081) = ( 26061 × 26081) / 1
LCM(26061,26081) = 679696941 / 1
LCM(26061,26081) = 679696941

Least Common Multiple (LCM) of 26061 and 26081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26061 and 26081. First we will calculate the prime factors of 26061 and 26081.

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 26081

Prime factors of 26081 are 11, 2371. Prime factorization of 26081 in exponential form is:

26081 = 111 × 23711

Now multiplying the highest exponent prime factors to calculate the LCM of 26061 and 26081.

LCM(26061,26081) = 31 × 71 × 171 × 731 × 111 × 23711
LCM(26061,26081) = 679696941