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What is the Least Common Multiple of 26115 and 26126?

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 26115 and 26126 is 682280490.

LCM(26115,26126) = 682280490

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Least Common Multiple of 26115 and 26126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26115 and 26126, than apply into the LCM equation.

GCF(26115,26126) = 1
LCM(26115,26126) = ( 26115 × 26126) / 1
LCM(26115,26126) = 682280490 / 1
LCM(26115,26126) = 682280490

Least Common Multiple (LCM) of 26115 and 26126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26115 and 26126. First we will calculate the prime factors of 26115 and 26126.

Prime Factorization of 26115

Prime factors of 26115 are 3, 5, 1741. Prime factorization of 26115 in exponential form is:

26115 = 31 × 51 × 17411

Prime Factorization of 26126

Prime factors of 26126 are 2, 13063. Prime factorization of 26126 in exponential form is:

26126 = 21 × 130631

Now multiplying the highest exponent prime factors to calculate the LCM of 26115 and 26126.

LCM(26115,26126) = 31 × 51 × 17411 × 21 × 130631
LCM(26115,26126) = 682280490