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What is the Least Common Multiple of 26147 and 26152?

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 26147 and 26152 is 683796344.

LCM(26147,26152) = 683796344

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Least Common Multiple of 26147 and 26152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26147 and 26152, than apply into the LCM equation.

GCF(26147,26152) = 1
LCM(26147,26152) = ( 26147 × 26152) / 1
LCM(26147,26152) = 683796344 / 1
LCM(26147,26152) = 683796344

Least Common Multiple (LCM) of 26147 and 26152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26147 and 26152. First we will calculate the prime factors of 26147 and 26152.

Prime Factorization of 26147

Prime factors of 26147 are 11, 2377. Prime factorization of 26147 in exponential form is:

26147 = 111 × 23771

Prime Factorization of 26152

Prime factors of 26152 are 2, 7, 467. Prime factorization of 26152 in exponential form is:

26152 = 23 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 26147 and 26152.

LCM(26147,26152) = 111 × 23771 × 23 × 71 × 4671
LCM(26147,26152) = 683796344