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What is the Least Common Multiple of 27877 and 27888?

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 27888 is 777433776.

LCM(27877,27888) = 777433776

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Least Common Multiple of 27877 and 27888 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 27888, than apply into the LCM equation.

GCF(27877,27888) = 1
LCM(27877,27888) = ( 27877 × 27888) / 1
LCM(27877,27888) = 777433776 / 1
LCM(27877,27888) = 777433776

Least Common Multiple (LCM) of 27877 and 27888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27877 and 27888. First we will calculate the prime factors of 27877 and 27888.

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 27888

Prime factors of 27888 are 2, 3, 7, 83. Prime factorization of 27888 in exponential form is:

27888 = 24 × 31 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 27877 and 27888.

LCM(27877,27888) = 611 × 4571 × 24 × 31 × 71 × 831
LCM(27877,27888) = 777433776