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What is the Least Common Multiple of 26512 and 26516?

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 26512 and 26516 is 175748048.

LCM(26512,26516) = 175748048

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Least Common Multiple of 26512 and 26516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26512 and 26516, than apply into the LCM equation.

GCF(26512,26516) = 4
LCM(26512,26516) = ( 26512 × 26516) / 4
LCM(26512,26516) = 702992192 / 4
LCM(26512,26516) = 175748048

Least Common Multiple (LCM) of 26512 and 26516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26512 and 26516. First we will calculate the prime factors of 26512 and 26516.

Prime Factorization of 26512

Prime factors of 26512 are 2, 1657. Prime factorization of 26512 in exponential form is:

26512 = 24 × 16571

Prime Factorization of 26516

Prime factors of 26516 are 2, 7, 947. Prime factorization of 26516 in exponential form is:

26516 = 22 × 71 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 26512 and 26516.

LCM(26512,26516) = 24 × 16571 × 71 × 9471
LCM(26512,26516) = 175748048