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What is the Least Common Multiple of 88229 and 88247?

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 88229 and 88247 is 7785944563.

LCM(88229,88247) = 7785944563

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Least Common Multiple of 88229 and 88247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88229 and 88247, than apply into the LCM equation.

GCF(88229,88247) = 1
LCM(88229,88247) = ( 88229 × 88247) / 1
LCM(88229,88247) = 7785944563 / 1
LCM(88229,88247) = 7785944563

Least Common Multiple (LCM) of 88229 and 88247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88229 and 88247. First we will calculate the prime factors of 88229 and 88247.

Prime Factorization of 88229

Prime factors of 88229 are 83, 1063. Prime factorization of 88229 in exponential form is:

88229 = 831 × 10631

Prime Factorization of 88247

Prime factors of 88247 are 17, 29, 179. Prime factorization of 88247 in exponential form is:

88247 = 171 × 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 88229 and 88247.

LCM(88229,88247) = 831 × 10631 × 171 × 291 × 1791
LCM(88229,88247) = 7785944563