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What is the Least Common Multiple of 26061 and 26065?

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 26065 is 679279965.

LCM(26061,26065) = 679279965

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Least Common Multiple of 26061 and 26065 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 26065, than apply into the LCM equation.

GCF(26061,26065) = 1
LCM(26061,26065) = ( 26061 × 26065) / 1
LCM(26061,26065) = 679279965 / 1
LCM(26061,26065) = 679279965

Least Common Multiple (LCM) of 26061 and 26065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26061 and 26065. First we will calculate the prime factors of 26061 and 26065.

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 26065

Prime factors of 26065 are 5, 13, 401. Prime factorization of 26065 in exponential form is:

26065 = 51 × 131 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 26061 and 26065.

LCM(26061,26065) = 31 × 71 × 171 × 731 × 51 × 131 × 4011
LCM(26061,26065) = 679279965