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What is the Least Common Multiple of 26493 and 26503?

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 26493 and 26503 is 702143979.

LCM(26493,26503) = 702143979

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Least Common Multiple of 26493 and 26503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26493 and 26503, than apply into the LCM equation.

GCF(26493,26503) = 1
LCM(26493,26503) = ( 26493 × 26503) / 1
LCM(26493,26503) = 702143979 / 1
LCM(26493,26503) = 702143979

Least Common Multiple (LCM) of 26493 and 26503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26493 and 26503. First we will calculate the prime factors of 26493 and 26503.

Prime Factorization of 26493

Prime factors of 26493 are 3, 8831. Prime factorization of 26493 in exponential form is:

26493 = 31 × 88311

Prime Factorization of 26503

Prime factors of 26503 are 17, 1559. Prime factorization of 26503 in exponential form is:

26503 = 171 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 26493 and 26503.

LCM(26493,26503) = 31 × 88311 × 171 × 15591
LCM(26493,26503) = 702143979