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What is the Least Common Multiple of 26065 and 26073?

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 26065 and 26073 is 679592745.

LCM(26065,26073) = 679592745

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Least Common Multiple of 26065 and 26073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26065 and 26073, than apply into the LCM equation.

GCF(26065,26073) = 1
LCM(26065,26073) = ( 26065 × 26073) / 1
LCM(26065,26073) = 679592745 / 1
LCM(26065,26073) = 679592745

Least Common Multiple (LCM) of 26065 and 26073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26065 and 26073. First we will calculate the prime factors of 26065 and 26073.

Prime Factorization of 26065

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

26065 = 51 × 131 × 4011

Prime Factorization of 26073

Prime factors of 26073 are 3, 2897. Prime factorization of 26073 in exponential form is:

26073 = 32 × 28971

Now multiplying the highest exponent prime factors to calculate the LCM of 26065 and 26073.

LCM(26065,26073) = 51 × 131 × 4011 × 32 × 28971
LCM(26065,26073) = 679592745