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What is the Least Common Multiple of 891 and 895?

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 891 and 895 is 797445.

LCM(891,895) = 797445

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Least Common Multiple of 891 and 895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 891 and 895, than apply into the LCM equation.

GCF(891,895) = 1
LCM(891,895) = ( 891 × 895) / 1
LCM(891,895) = 797445 / 1
LCM(891,895) = 797445

Least Common Multiple (LCM) of 891 and 895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 891 and 895. First we will calculate the prime factors of 891 and 895.

Prime Factorization of 891

Prime factors of 891 are 3, 11. Prime factorization of 891 in exponential form is:

891 = 34 × 111

Prime Factorization of 895

Prime factors of 895 are 5, 179. Prime factorization of 895 in exponential form is:

895 = 51 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 891 and 895.

LCM(891,895) = 34 × 111 × 51 × 1791
LCM(891,895) = 797445