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What is the Least Common Multiple of 26628 and 26643?

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 26628 and 26643 is 236483268.

LCM(26628,26643) = 236483268

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Least Common Multiple of 26628 and 26643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26628 and 26643, than apply into the LCM equation.

GCF(26628,26643) = 3
LCM(26628,26643) = ( 26628 × 26643) / 3
LCM(26628,26643) = 709449804 / 3
LCM(26628,26643) = 236483268

Least Common Multiple (LCM) of 26628 and 26643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26628 and 26643. First we will calculate the prime factors of 26628 and 26643.

Prime Factorization of 26628

Prime factors of 26628 are 2, 3, 7, 317. Prime factorization of 26628 in exponential form is:

26628 = 22 × 31 × 71 × 3171

Prime Factorization of 26643

Prime factors of 26643 are 3, 83, 107. Prime factorization of 26643 in exponential form is:

26643 = 31 × 831 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 26628 and 26643.

LCM(26628,26643) = 22 × 31 × 71 × 3171 × 831 × 1071
LCM(26628,26643) = 236483268