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What is the Least Common Multiple of 26219 and 26228?

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 26219 and 26228 is 687671932.

LCM(26219,26228) = 687671932

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Least Common Multiple of 26219 and 26228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26219 and 26228, than apply into the LCM equation.

GCF(26219,26228) = 1
LCM(26219,26228) = ( 26219 × 26228) / 1
LCM(26219,26228) = 687671932 / 1
LCM(26219,26228) = 687671932

Least Common Multiple (LCM) of 26219 and 26228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26219 and 26228. First we will calculate the prime factors of 26219 and 26228.

Prime Factorization of 26219

Prime factors of 26219 are 157, 167. Prime factorization of 26219 in exponential form is:

26219 = 1571 × 1671

Prime Factorization of 26228

Prime factors of 26228 are 2, 79, 83. Prime factorization of 26228 in exponential form is:

26228 = 22 × 791 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 26219 and 26228.

LCM(26219,26228) = 1571 × 1671 × 22 × 791 × 831
LCM(26219,26228) = 687671932