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What is the Least Common Multiple of 92906 and 92922?

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 92906 and 92922 is 4316505666.

LCM(92906,92922) = 4316505666

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Least Common Multiple of 92906 and 92922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92906 and 92922, than apply into the LCM equation.

GCF(92906,92922) = 2
LCM(92906,92922) = ( 92906 × 92922) / 2
LCM(92906,92922) = 8633011332 / 2
LCM(92906,92922) = 4316505666

Least Common Multiple (LCM) of 92906 and 92922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92906 and 92922. First we will calculate the prime factors of 92906 and 92922.

Prime Factorization of 92906

Prime factors of 92906 are 2, 11, 41, 103. Prime factorization of 92906 in exponential form is:

92906 = 21 × 111 × 411 × 1031

Prime Factorization of 92922

Prime factors of 92922 are 2, 3, 17, 911. Prime factorization of 92922 in exponential form is:

92922 = 21 × 31 × 171 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 92906 and 92922.

LCM(92906,92922) = 21 × 111 × 411 × 1031 × 31 × 171 × 9111
LCM(92906,92922) = 4316505666