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What is the Least Common Multiple of 26957 and 26964?

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 26957 and 26964 is 103838364.

LCM(26957,26964) = 103838364

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Least Common Multiple of 26957 and 26964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26957 and 26964, than apply into the LCM equation.

GCF(26957,26964) = 7
LCM(26957,26964) = ( 26957 × 26964) / 7
LCM(26957,26964) = 726868548 / 7
LCM(26957,26964) = 103838364

Least Common Multiple (LCM) of 26957 and 26964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26957 and 26964. First we will calculate the prime factors of 26957 and 26964.

Prime Factorization of 26957

Prime factors of 26957 are 7, 3851. Prime factorization of 26957 in exponential form is:

26957 = 71 × 38511

Prime Factorization of 26964

Prime factors of 26964 are 2, 3, 7, 107. Prime factorization of 26964 in exponential form is:

26964 = 22 × 32 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 26957 and 26964.

LCM(26957,26964) = 71 × 38511 × 22 × 32 × 1071
LCM(26957,26964) = 103838364