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What is the Least Common Multiple of 26622 and 26639?

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 26622 and 26639 is 41716674.

LCM(26622,26639) = 41716674

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Least Common Multiple of 26622 and 26639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26622 and 26639, than apply into the LCM equation.

GCF(26622,26639) = 17
LCM(26622,26639) = ( 26622 × 26639) / 17
LCM(26622,26639) = 709183458 / 17
LCM(26622,26639) = 41716674

Least Common Multiple (LCM) of 26622 and 26639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26622 and 26639. First we will calculate the prime factors of 26622 and 26639.

Prime Factorization of 26622

Prime factors of 26622 are 2, 3, 17, 29. Prime factorization of 26622 in exponential form is:

26622 = 21 × 33 × 171 × 291

Prime Factorization of 26639

Prime factors of 26639 are 17, 1567. Prime factorization of 26639 in exponential form is:

26639 = 171 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 26622 and 26639.

LCM(26622,26639) = 21 × 33 × 171 × 291 × 15671
LCM(26622,26639) = 41716674