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What is the Least Common Multiple of 8877 and 8892?

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 8877 and 8892 is 26311428.

LCM(8877,8892) = 26311428

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Least Common Multiple of 8877 and 8892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8877 and 8892, than apply into the LCM equation.

GCF(8877,8892) = 3
LCM(8877,8892) = ( 8877 × 8892) / 3
LCM(8877,8892) = 78934284 / 3
LCM(8877,8892) = 26311428

Least Common Multiple (LCM) of 8877 and 8892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8877 and 8892. First we will calculate the prime factors of 8877 and 8892.

Prime Factorization of 8877

Prime factors of 8877 are 3, 11, 269. Prime factorization of 8877 in exponential form is:

8877 = 31 × 111 × 2691

Prime Factorization of 8892

Prime factors of 8892 are 2, 3, 13, 19. Prime factorization of 8892 in exponential form is:

8892 = 22 × 32 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 8877 and 8892.

LCM(8877,8892) = 32 × 111 × 2691 × 22 × 131 × 191
LCM(8877,8892) = 26311428