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What is the Least Common Multiple of 922 and 927?

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 922 and 927 is 854694.

LCM(922,927) = 854694

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Least Common Multiple of 922 and 927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 922 and 927, than apply into the LCM equation.

GCF(922,927) = 1
LCM(922,927) = ( 922 × 927) / 1
LCM(922,927) = 854694 / 1
LCM(922,927) = 854694

Least Common Multiple (LCM) of 922 and 927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 927. First we will calculate the prime factors of 922 and 927.

Prime Factorization of 922

Prime factors of 922 are 2, 461. Prime factorization of 922 in exponential form is:

922 = 21 × 4611

Prime Factorization of 927

Prime factors of 927 are 3, 103. Prime factorization of 927 in exponential form is:

927 = 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 922 and 927.

LCM(922,927) = 21 × 4611 × 32 × 1031
LCM(922,927) = 854694