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What is the Least Common Multiple of 26570 and 26579?

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 26570 and 26579 is 706204030.

LCM(26570,26579) = 706204030

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Least Common Multiple of 26570 and 26579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26570 and 26579, than apply into the LCM equation.

GCF(26570,26579) = 1
LCM(26570,26579) = ( 26570 × 26579) / 1
LCM(26570,26579) = 706204030 / 1
LCM(26570,26579) = 706204030

Least Common Multiple (LCM) of 26570 and 26579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26570 and 26579. First we will calculate the prime factors of 26570 and 26579.

Prime Factorization of 26570

Prime factors of 26570 are 2, 5, 2657. Prime factorization of 26570 in exponential form is:

26570 = 21 × 51 × 26571

Prime Factorization of 26579

Prime factors of 26579 are 7, 3797. Prime factorization of 26579 in exponential form is:

26579 = 71 × 37971

Now multiplying the highest exponent prime factors to calculate the LCM of 26570 and 26579.

LCM(26570,26579) = 21 × 51 × 26571 × 71 × 37971
LCM(26570,26579) = 706204030