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What is the Least Common Multiple of 27877 and 27897?

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 27877 and 27897 is 777684669.

LCM(27877,27897) = 777684669

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Least Common Multiple of 27877 and 27897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27877 and 27897, than apply into the LCM equation.

GCF(27877,27897) = 1
LCM(27877,27897) = ( 27877 × 27897) / 1
LCM(27877,27897) = 777684669 / 1
LCM(27877,27897) = 777684669

Least Common Multiple (LCM) of 27877 and 27897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27877 and 27897. First we will calculate the prime factors of 27877 and 27897.

Prime Factorization of 27877

Prime factors of 27877 are 61, 457. Prime factorization of 27877 in exponential form is:

27877 = 611 × 4571

Prime Factorization of 27897

Prime factors of 27897 are 3, 17, 547. Prime factorization of 27897 in exponential form is:

27897 = 31 × 171 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 27877 and 27897.

LCM(27877,27897) = 611 × 4571 × 31 × 171 × 5471
LCM(27877,27897) = 777684669