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What is the Least Common Multiple of 26765 and 26769?

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 26765 and 26769 is 716472285.

LCM(26765,26769) = 716472285

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Least Common Multiple of 26765 and 26769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26765 and 26769, than apply into the LCM equation.

GCF(26765,26769) = 1
LCM(26765,26769) = ( 26765 × 26769) / 1
LCM(26765,26769) = 716472285 / 1
LCM(26765,26769) = 716472285

Least Common Multiple (LCM) of 26765 and 26769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26765 and 26769. First we will calculate the prime factors of 26765 and 26769.

Prime Factorization of 26765

Prime factors of 26765 are 5, 53, 101. Prime factorization of 26765 in exponential form is:

26765 = 51 × 531 × 1011

Prime Factorization of 26769

Prime factors of 26769 are 3, 8923. Prime factorization of 26769 in exponential form is:

26769 = 31 × 89231

Now multiplying the highest exponent prime factors to calculate the LCM of 26765 and 26769.

LCM(26765,26769) = 51 × 531 × 1011 × 31 × 89231
LCM(26765,26769) = 716472285