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What is the Least Common Multiple of 26115 and 26128?

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 26128 is 682332720.

LCM(26115,26128) = 682332720

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Least Common Multiple of 26115 and 26128 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 26128, than apply into the LCM equation.

GCF(26115,26128) = 1
LCM(26115,26128) = ( 26115 × 26128) / 1
LCM(26115,26128) = 682332720 / 1
LCM(26115,26128) = 682332720

Least Common Multiple (LCM) of 26115 and 26128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26115 and 26128. First we will calculate the prime factors of 26115 and 26128.

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 26128

Prime factors of 26128 are 2, 23, 71. Prime factorization of 26128 in exponential form is:

26128 = 24 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26115 and 26128.

LCM(26115,26128) = 31 × 51 × 17411 × 24 × 231 × 711
LCM(26115,26128) = 682332720