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What is the Least Common Multiple of 26522 and 26537?

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 26522 and 26537 is 703814314.

LCM(26522,26537) = 703814314

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Least Common Multiple of 26522 and 26537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26522 and 26537, than apply into the LCM equation.

GCF(26522,26537) = 1
LCM(26522,26537) = ( 26522 × 26537) / 1
LCM(26522,26537) = 703814314 / 1
LCM(26522,26537) = 703814314

Least Common Multiple (LCM) of 26522 and 26537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26522 and 26537. First we will calculate the prime factors of 26522 and 26537.

Prime Factorization of 26522

Prime factors of 26522 are 2, 89, 149. Prime factorization of 26522 in exponential form is:

26522 = 21 × 891 × 1491

Prime Factorization of 26537

Prime factors of 26537 are 7, 17, 223. Prime factorization of 26537 in exponential form is:

26537 = 71 × 171 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 26522 and 26537.

LCM(26522,26537) = 21 × 891 × 1491 × 71 × 171 × 2231
LCM(26522,26537) = 703814314