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What is the Least Common Multiple of 26270 and 26275?

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 26270 and 26275 is 138048850.

LCM(26270,26275) = 138048850

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Least Common Multiple of 26270 and 26275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26270 and 26275, than apply into the LCM equation.

GCF(26270,26275) = 5
LCM(26270,26275) = ( 26270 × 26275) / 5
LCM(26270,26275) = 690244250 / 5
LCM(26270,26275) = 138048850

Least Common Multiple (LCM) of 26270 and 26275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26270 and 26275. First we will calculate the prime factors of 26270 and 26275.

Prime Factorization of 26270

Prime factors of 26270 are 2, 5, 37, 71. Prime factorization of 26270 in exponential form is:

26270 = 21 × 51 × 371 × 711

Prime Factorization of 26275

Prime factors of 26275 are 5, 1051. Prime factorization of 26275 in exponential form is:

26275 = 52 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 26270 and 26275.

LCM(26270,26275) = 21 × 52 × 371 × 711 × 10511
LCM(26270,26275) = 138048850