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What is the Least Common Multiple of 26590 and 26609?

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 26590 and 26609 is 707533310.

LCM(26590,26609) = 707533310

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Least Common Multiple of 26590 and 26609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26590 and 26609, than apply into the LCM equation.

GCF(26590,26609) = 1
LCM(26590,26609) = ( 26590 × 26609) / 1
LCM(26590,26609) = 707533310 / 1
LCM(26590,26609) = 707533310

Least Common Multiple (LCM) of 26590 and 26609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26590 and 26609. First we will calculate the prime factors of 26590 and 26609.

Prime Factorization of 26590

Prime factors of 26590 are 2, 5, 2659. Prime factorization of 26590 in exponential form is:

26590 = 21 × 51 × 26591

Prime Factorization of 26609

Prime factors of 26609 are 11, 41, 59. Prime factorization of 26609 in exponential form is:

26609 = 111 × 411 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 26590 and 26609.

LCM(26590,26609) = 21 × 51 × 26591 × 111 × 411 × 591
LCM(26590,26609) = 707533310