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What is the Least Common Multiple of 26015 and 26032?

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 26015 and 26032 is 677222480.

LCM(26015,26032) = 677222480

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Least Common Multiple of 26015 and 26032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26015 and 26032, than apply into the LCM equation.

GCF(26015,26032) = 1
LCM(26015,26032) = ( 26015 × 26032) / 1
LCM(26015,26032) = 677222480 / 1
LCM(26015,26032) = 677222480

Least Common Multiple (LCM) of 26015 and 26032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26015 and 26032. First we will calculate the prime factors of 26015 and 26032.

Prime Factorization of 26015

Prime factors of 26015 are 5, 11, 43. Prime factorization of 26015 in exponential form is:

26015 = 51 × 112 × 431

Prime Factorization of 26032

Prime factors of 26032 are 2, 1627. Prime factorization of 26032 in exponential form is:

26032 = 24 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 26015 and 26032.

LCM(26015,26032) = 51 × 112 × 431 × 24 × 16271
LCM(26015,26032) = 677222480