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What is the Least Common Multiple of 26067 and 26075?

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 26067 and 26075 is 679697025.

LCM(26067,26075) = 679697025

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Least Common Multiple of 26067 and 26075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26067 and 26075, than apply into the LCM equation.

GCF(26067,26075) = 1
LCM(26067,26075) = ( 26067 × 26075) / 1
LCM(26067,26075) = 679697025 / 1
LCM(26067,26075) = 679697025

Least Common Multiple (LCM) of 26067 and 26075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26067 and 26075. First we will calculate the prime factors of 26067 and 26075.

Prime Factorization of 26067

Prime factors of 26067 are 3, 8689. Prime factorization of 26067 in exponential form is:

26067 = 31 × 86891

Prime Factorization of 26075

Prime factors of 26075 are 5, 7, 149. Prime factorization of 26075 in exponential form is:

26075 = 52 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 26067 and 26075.

LCM(26067,26075) = 31 × 86891 × 52 × 71 × 1491
LCM(26067,26075) = 679697025