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What is the Least Common Multiple of 26762 and 26772?

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 26762 and 26772 is 358236132.

LCM(26762,26772) = 358236132

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Least Common Multiple of 26762 and 26772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26762 and 26772, than apply into the LCM equation.

GCF(26762,26772) = 2
LCM(26762,26772) = ( 26762 × 26772) / 2
LCM(26762,26772) = 716472264 / 2
LCM(26762,26772) = 358236132

Least Common Multiple (LCM) of 26762 and 26772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26762 and 26772. First we will calculate the prime factors of 26762 and 26772.

Prime Factorization of 26762

Prime factors of 26762 are 2, 13381. Prime factorization of 26762 in exponential form is:

26762 = 21 × 133811

Prime Factorization of 26772

Prime factors of 26772 are 2, 3, 23, 97. Prime factorization of 26772 in exponential form is:

26772 = 22 × 31 × 231 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 26762 and 26772.

LCM(26762,26772) = 22 × 133811 × 31 × 231 × 971
LCM(26762,26772) = 358236132