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What is the Least Common Multiple of 26772 and 26777?

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 26772 and 26777 is 716873844.

LCM(26772,26777) = 716873844

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Least Common Multiple of 26772 and 26777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26772 and 26777, than apply into the LCM equation.

GCF(26772,26777) = 1
LCM(26772,26777) = ( 26772 × 26777) / 1
LCM(26772,26777) = 716873844 / 1
LCM(26772,26777) = 716873844

Least Common Multiple (LCM) of 26772 and 26777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26772 and 26777. First we will calculate the prime factors of 26772 and 26777.

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

Prime Factorization of 26777

Prime factors of 26777 are 26777. Prime factorization of 26777 in exponential form is:

26777 = 267771

Now multiplying the highest exponent prime factors to calculate the LCM of 26772 and 26777.

LCM(26772,26777) = 22 × 31 × 231 × 971 × 267771
LCM(26772,26777) = 716873844