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What is the Least Common Multiple of 26617 and 26624?

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 26617 and 26624 is 708651008.

LCM(26617,26624) = 708651008

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Least Common Multiple of 26617 and 26624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26617 and 26624, than apply into the LCM equation.

GCF(26617,26624) = 1
LCM(26617,26624) = ( 26617 × 26624) / 1
LCM(26617,26624) = 708651008 / 1
LCM(26617,26624) = 708651008

Least Common Multiple (LCM) of 26617 and 26624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26617 and 26624. First we will calculate the prime factors of 26617 and 26624.

Prime Factorization of 26617

Prime factors of 26617 are 43, 619. Prime factorization of 26617 in exponential form is:

26617 = 431 × 6191

Prime Factorization of 26624

Prime factors of 26624 are 2, 13. Prime factorization of 26624 in exponential form is:

26624 = 211 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 26617 and 26624.

LCM(26617,26624) = 431 × 6191 × 211 × 131
LCM(26617,26624) = 708651008