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What is the Least Common Multiple of 8911 and 8925?

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 8911 and 8925 is 11361525.

LCM(8911,8925) = 11361525

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Least Common Multiple of 8911 and 8925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8911 and 8925, than apply into the LCM equation.

GCF(8911,8925) = 7
LCM(8911,8925) = ( 8911 × 8925) / 7
LCM(8911,8925) = 79530675 / 7
LCM(8911,8925) = 11361525

Least Common Multiple (LCM) of 8911 and 8925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8911 and 8925. First we will calculate the prime factors of 8911 and 8925.

Prime Factorization of 8911

Prime factors of 8911 are 7, 19, 67. Prime factorization of 8911 in exponential form is:

8911 = 71 × 191 × 671

Prime Factorization of 8925

Prime factors of 8925 are 3, 5, 7, 17. Prime factorization of 8925 in exponential form is:

8925 = 31 × 52 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 8911 and 8925.

LCM(8911,8925) = 71 × 191 × 671 × 31 × 52 × 171
LCM(8911,8925) = 11361525