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What is the Least Common Multiple of 26103 and 26109?

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 26103 and 26109 is 227174409.

LCM(26103,26109) = 227174409

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Least Common Multiple of 26103 and 26109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26103 and 26109, than apply into the LCM equation.

GCF(26103,26109) = 3
LCM(26103,26109) = ( 26103 × 26109) / 3
LCM(26103,26109) = 681523227 / 3
LCM(26103,26109) = 227174409

Least Common Multiple (LCM) of 26103 and 26109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26103 and 26109. First we will calculate the prime factors of 26103 and 26109.

Prime Factorization of 26103

Prime factors of 26103 are 3, 7, 11, 113. Prime factorization of 26103 in exponential form is:

26103 = 31 × 71 × 111 × 1131

Prime Factorization of 26109

Prime factors of 26109 are 3, 967. Prime factorization of 26109 in exponential form is:

26109 = 33 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 26103 and 26109.

LCM(26103,26109) = 33 × 71 × 111 × 1131 × 9671
LCM(26103,26109) = 227174409