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What is the Least Common Multiple of 26756 and 26767?

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 26756 and 26767 is 716177852.

LCM(26756,26767) = 716177852

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Least Common Multiple of 26756 and 26767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26756 and 26767, than apply into the LCM equation.

GCF(26756,26767) = 1
LCM(26756,26767) = ( 26756 × 26767) / 1
LCM(26756,26767) = 716177852 / 1
LCM(26756,26767) = 716177852

Least Common Multiple (LCM) of 26756 and 26767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26756 and 26767. First we will calculate the prime factors of 26756 and 26767.

Prime Factorization of 26756

Prime factors of 26756 are 2, 6689. Prime factorization of 26756 in exponential form is:

26756 = 22 × 66891

Prime Factorization of 26767

Prime factors of 26767 are 13, 29, 71. Prime factorization of 26767 in exponential form is:

26767 = 131 × 291 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 26756 and 26767.

LCM(26756,26767) = 22 × 66891 × 131 × 291 × 711
LCM(26756,26767) = 716177852