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What is the Least Common Multiple of 88003 and 88009?

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 88003 and 88009 is 7745056027.

LCM(88003,88009) = 7745056027

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Least Common Multiple of 88003 and 88009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88003 and 88009, than apply into the LCM equation.

GCF(88003,88009) = 1
LCM(88003,88009) = ( 88003 × 88009) / 1
LCM(88003,88009) = 7745056027 / 1
LCM(88003,88009) = 7745056027

Least Common Multiple (LCM) of 88003 and 88009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88003 and 88009. First we will calculate the prime factors of 88003 and 88009.

Prime Factorization of 88003

Prime factors of 88003 are 88003. Prime factorization of 88003 in exponential form is:

88003 = 880031

Prime Factorization of 88009

Prime factors of 88009 are 17, 31, 167. Prime factorization of 88009 in exponential form is:

88009 = 171 × 311 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 88003 and 88009.

LCM(88003,88009) = 880031 × 171 × 311 × 1671
LCM(88003,88009) = 7745056027