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What is the Least Common Multiple of 26140 and 26157?

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 26140 and 26157 is 683743980.

LCM(26140,26157) = 683743980

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Least Common Multiple of 26140 and 26157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26140 and 26157, than apply into the LCM equation.

GCF(26140,26157) = 1
LCM(26140,26157) = ( 26140 × 26157) / 1
LCM(26140,26157) = 683743980 / 1
LCM(26140,26157) = 683743980

Least Common Multiple (LCM) of 26140 and 26157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26140 and 26157. First we will calculate the prime factors of 26140 and 26157.

Prime Factorization of 26140

Prime factors of 26140 are 2, 5, 1307. Prime factorization of 26140 in exponential form is:

26140 = 22 × 51 × 13071

Prime Factorization of 26157

Prime factors of 26157 are 3, 8719. Prime factorization of 26157 in exponential form is:

26157 = 31 × 87191

Now multiplying the highest exponent prime factors to calculate the LCM of 26140 and 26157.

LCM(26140,26157) = 22 × 51 × 13071 × 31 × 87191
LCM(26140,26157) = 683743980