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What is the Least Common Multiple of 26764 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 26764 and 26772 is 179131452.

LCM(26764,26772) = 179131452

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Least Common Multiple of 26764 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 26764 and 26772, than apply into the LCM equation.

GCF(26764,26772) = 4
LCM(26764,26772) = ( 26764 × 26772) / 4
LCM(26764,26772) = 716525808 / 4
LCM(26764,26772) = 179131452

Least Common Multiple (LCM) of 26764 and 26772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26764 and 26772. First we will calculate the prime factors of 26764 and 26772.

Prime Factorization of 26764

Prime factors of 26764 are 2, 6691. Prime factorization of 26764 in exponential form is:

26764 = 22 × 66911

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 26764 and 26772.

LCM(26764,26772) = 22 × 66911 × 31 × 231 × 971
LCM(26764,26772) = 179131452