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What is the Least Common Multiple of 26069 and 26080?

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 26069 and 26080 is 679879520.

LCM(26069,26080) = 679879520

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Least Common Multiple of 26069 and 26080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26069 and 26080, than apply into the LCM equation.

GCF(26069,26080) = 1
LCM(26069,26080) = ( 26069 × 26080) / 1
LCM(26069,26080) = 679879520 / 1
LCM(26069,26080) = 679879520

Least Common Multiple (LCM) of 26069 and 26080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26069 and 26080. First we will calculate the prime factors of 26069 and 26080.

Prime Factorization of 26069

Prime factors of 26069 are 131, 199. Prime factorization of 26069 in exponential form is:

26069 = 1311 × 1991

Prime Factorization of 26080

Prime factors of 26080 are 2, 5, 163. Prime factorization of 26080 in exponential form is:

26080 = 25 × 51 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 26069 and 26080.

LCM(26069,26080) = 1311 × 1991 × 25 × 51 × 1631
LCM(26069,26080) = 679879520