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What is the Least Common Multiple of 8922 and 8939?

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 8922 and 8939 is 79753758.

LCM(8922,8939) = 79753758

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Least Common Multiple of 8922 and 8939 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8922 and 8939, than apply into the LCM equation.

GCF(8922,8939) = 1
LCM(8922,8939) = ( 8922 × 8939) / 1
LCM(8922,8939) = 79753758 / 1
LCM(8922,8939) = 79753758

Least Common Multiple (LCM) of 8922 and 8939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8922 and 8939. First we will calculate the prime factors of 8922 and 8939.

Prime Factorization of 8922

Prime factors of 8922 are 2, 3, 1487. Prime factorization of 8922 in exponential form is:

8922 = 21 × 31 × 14871

Prime Factorization of 8939

Prime factors of 8939 are 7, 1277. Prime factorization of 8939 in exponential form is:

8939 = 71 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 8922 and 8939.

LCM(8922,8939) = 21 × 31 × 14871 × 71 × 12771
LCM(8922,8939) = 79753758