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What is the Least Common Multiple of 26658 and 26662?

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 26658 and 26662 is 355377798.

LCM(26658,26662) = 355377798

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Least Common Multiple of 26658 and 26662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26658 and 26662, than apply into the LCM equation.

GCF(26658,26662) = 2
LCM(26658,26662) = ( 26658 × 26662) / 2
LCM(26658,26662) = 710755596 / 2
LCM(26658,26662) = 355377798

Least Common Multiple (LCM) of 26658 and 26662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26658 and 26662. First we will calculate the prime factors of 26658 and 26662.

Prime Factorization of 26658

Prime factors of 26658 are 2, 3, 1481. Prime factorization of 26658 in exponential form is:

26658 = 21 × 32 × 14811

Prime Factorization of 26662

Prime factors of 26662 are 2, 13331. Prime factorization of 26662 in exponential form is:

26662 = 21 × 133311

Now multiplying the highest exponent prime factors to calculate the LCM of 26658 and 26662.

LCM(26658,26662) = 21 × 32 × 14811 × 133311
LCM(26658,26662) = 355377798