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What is the Least Common Multiple of 92212 and 92229?

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 92212 and 92229 is 8504620548.

LCM(92212,92229) = 8504620548

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Least Common Multiple of 92212 and 92229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92212 and 92229, than apply into the LCM equation.

GCF(92212,92229) = 1
LCM(92212,92229) = ( 92212 × 92229) / 1
LCM(92212,92229) = 8504620548 / 1
LCM(92212,92229) = 8504620548

Least Common Multiple (LCM) of 92212 and 92229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92212 and 92229. First we will calculate the prime factors of 92212 and 92229.

Prime Factorization of 92212

Prime factors of 92212 are 2, 23053. Prime factorization of 92212 in exponential form is:

92212 = 22 × 230531

Prime Factorization of 92229

Prime factors of 92229 are 3, 71, 433. Prime factorization of 92229 in exponential form is:

92229 = 31 × 711 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 92212 and 92229.

LCM(92212,92229) = 22 × 230531 × 31 × 711 × 4331
LCM(92212,92229) = 8504620548