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What is the Least Common Multiple of 26104 and 26120?

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 26104 and 26120 is 85229560.

LCM(26104,26120) = 85229560

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Least Common Multiple of 26104 and 26120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26104 and 26120, than apply into the LCM equation.

GCF(26104,26120) = 8
LCM(26104,26120) = ( 26104 × 26120) / 8
LCM(26104,26120) = 681836480 / 8
LCM(26104,26120) = 85229560

Least Common Multiple (LCM) of 26104 and 26120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26104 and 26120. First we will calculate the prime factors of 26104 and 26120.

Prime Factorization of 26104

Prime factors of 26104 are 2, 13, 251. Prime factorization of 26104 in exponential form is:

26104 = 23 × 131 × 2511

Prime Factorization of 26120

Prime factors of 26120 are 2, 5, 653. Prime factorization of 26120 in exponential form is:

26120 = 23 × 51 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 26104 and 26120.

LCM(26104,26120) = 23 × 131 × 2511 × 51 × 6531
LCM(26104,26120) = 85229560