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What is the Least Common Multiple of 92228 and 92239?

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 92228 and 92239 is 8507018492.

LCM(92228,92239) = 8507018492

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Least Common Multiple of 92228 and 92239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92228 and 92239, than apply into the LCM equation.

GCF(92228,92239) = 1
LCM(92228,92239) = ( 92228 × 92239) / 1
LCM(92228,92239) = 8507018492 / 1
LCM(92228,92239) = 8507018492

Least Common Multiple (LCM) of 92228 and 92239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92228 and 92239. First we will calculate the prime factors of 92228 and 92239.

Prime Factorization of 92228

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

92228 = 22 × 230571

Prime Factorization of 92239

Prime factors of 92239 are 7, 13177. Prime factorization of 92239 in exponential form is:

92239 = 71 × 131771

Now multiplying the highest exponent prime factors to calculate the LCM of 92228 and 92239.

LCM(92228,92239) = 22 × 230571 × 71 × 131771
LCM(92228,92239) = 8507018492