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What is the Least Common Multiple of 26249 and 26253?

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 26249 and 26253 is 689114997.

LCM(26249,26253) = 689114997

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Least Common Multiple of 26249 and 26253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26249 and 26253, than apply into the LCM equation.

GCF(26249,26253) = 1
LCM(26249,26253) = ( 26249 × 26253) / 1
LCM(26249,26253) = 689114997 / 1
LCM(26249,26253) = 689114997

Least Common Multiple (LCM) of 26249 and 26253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26249 and 26253. First we will calculate the prime factors of 26249 and 26253.

Prime Factorization of 26249

Prime factors of 26249 are 26249. Prime factorization of 26249 in exponential form is:

26249 = 262491

Prime Factorization of 26253

Prime factors of 26253 are 3, 2917. Prime factorization of 26253 in exponential form is:

26253 = 32 × 29171

Now multiplying the highest exponent prime factors to calculate the LCM of 26249 and 26253.

LCM(26249,26253) = 262491 × 32 × 29171
LCM(26249,26253) = 689114997