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What is the Least Common Multiple of 26628 and 26642?

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 26642 is 50673084.

LCM(26628,26642) = 50673084

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Least Common Multiple of 26628 and 26642 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 26642, than apply into the LCM equation.

GCF(26628,26642) = 14
LCM(26628,26642) = ( 26628 × 26642) / 14
LCM(26628,26642) = 709423176 / 14
LCM(26628,26642) = 50673084

Least Common Multiple (LCM) of 26628 and 26642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26628 and 26642. First we will calculate the prime factors of 26628 and 26642.

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 26642

Prime factors of 26642 are 2, 7, 11, 173. Prime factorization of 26642 in exponential form is:

26642 = 21 × 71 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 26628 and 26642.

LCM(26628,26642) = 22 × 31 × 71 × 3171 × 111 × 1731
LCM(26628,26642) = 50673084