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What is the Least Common Multiple of 26280 and 26299?

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 26280 and 26299 is 691137720.

LCM(26280,26299) = 691137720

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Least Common Multiple of 26280 and 26299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26280 and 26299, than apply into the LCM equation.

GCF(26280,26299) = 1
LCM(26280,26299) = ( 26280 × 26299) / 1
LCM(26280,26299) = 691137720 / 1
LCM(26280,26299) = 691137720

Least Common Multiple (LCM) of 26280 and 26299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26280 and 26299. First we will calculate the prime factors of 26280 and 26299.

Prime Factorization of 26280

Prime factors of 26280 are 2, 3, 5, 73. Prime factorization of 26280 in exponential form is:

26280 = 23 × 32 × 51 × 731

Prime Factorization of 26299

Prime factors of 26299 are 7, 13, 17. Prime factorization of 26299 in exponential form is:

26299 = 71 × 131 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 26280 and 26299.

LCM(26280,26299) = 23 × 32 × 51 × 731 × 71 × 131 × 172
LCM(26280,26299) = 691137720