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What is the Least Common Multiple of 92215 and 92228?

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 92215 and 92228 is 8504805020.

LCM(92215,92228) = 8504805020

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Least Common Multiple of 92215 and 92228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92215 and 92228, than apply into the LCM equation.

GCF(92215,92228) = 1
LCM(92215,92228) = ( 92215 × 92228) / 1
LCM(92215,92228) = 8504805020 / 1
LCM(92215,92228) = 8504805020

Least Common Multiple (LCM) of 92215 and 92228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92215 and 92228. First we will calculate the prime factors of 92215 and 92228.

Prime Factorization of 92215

Prime factors of 92215 are 5, 18443. Prime factorization of 92215 in exponential form is:

92215 = 51 × 184431

Prime Factorization of 92228

Prime factors of 92228 are 2, 23057. Prime factorization of 92228 in exponential form is:

92228 = 22 × 230571

Now multiplying the highest exponent prime factors to calculate the LCM of 92215 and 92228.

LCM(92215,92228) = 51 × 184431 × 22 × 230571
LCM(92215,92228) = 8504805020