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What is the Least Common Multiple of 26699 and 26704?

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 26699 and 26704 is 712970096.

LCM(26699,26704) = 712970096

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Least Common Multiple of 26699 and 26704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26699 and 26704, than apply into the LCM equation.

GCF(26699,26704) = 1
LCM(26699,26704) = ( 26699 × 26704) / 1
LCM(26699,26704) = 712970096 / 1
LCM(26699,26704) = 712970096

Least Common Multiple (LCM) of 26699 and 26704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26699 and 26704. First we will calculate the prime factors of 26699 and 26704.

Prime Factorization of 26699

Prime factors of 26699 are 26699. Prime factorization of 26699 in exponential form is:

26699 = 266991

Prime Factorization of 26704

Prime factors of 26704 are 2, 1669. Prime factorization of 26704 in exponential form is:

26704 = 24 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 26699 and 26704.

LCM(26699,26704) = 266991 × 24 × 16691
LCM(26699,26704) = 712970096