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What is the Least Common Multiple of 26621 and 26634?

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 26621 and 26634 is 709023714.

LCM(26621,26634) = 709023714

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Least Common Multiple of 26621 and 26634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26621 and 26634, than apply into the LCM equation.

GCF(26621,26634) = 1
LCM(26621,26634) = ( 26621 × 26634) / 1
LCM(26621,26634) = 709023714 / 1
LCM(26621,26634) = 709023714

Least Common Multiple (LCM) of 26621 and 26634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26621 and 26634. First we will calculate the prime factors of 26621 and 26634.

Prime Factorization of 26621

Prime factors of 26621 are 7, 3803. Prime factorization of 26621 in exponential form is:

26621 = 71 × 38031

Prime Factorization of 26634

Prime factors of 26634 are 2, 3, 23, 193. Prime factorization of 26634 in exponential form is:

26634 = 21 × 31 × 231 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 26621 and 26634.

LCM(26621,26634) = 71 × 38031 × 21 × 31 × 231 × 1931
LCM(26621,26634) = 709023714