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What is the Least Common Multiple of 88003 and 88018?

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 88018 is 7745848054.

LCM(88003,88018) = 7745848054

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Least Common Multiple of 88003 and 88018 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 88018, than apply into the LCM equation.

GCF(88003,88018) = 1
LCM(88003,88018) = ( 88003 × 88018) / 1
LCM(88003,88018) = 7745848054 / 1
LCM(88003,88018) = 7745848054

Least Common Multiple (LCM) of 88003 and 88018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88003 and 88018. First we will calculate the prime factors of 88003 and 88018.

Prime Factorization of 88003

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

88003 = 880031

Prime Factorization of 88018

Prime factors of 88018 are 2, 7, 6287. Prime factorization of 88018 in exponential form is:

88018 = 21 × 71 × 62871

Now multiplying the highest exponent prime factors to calculate the LCM of 88003 and 88018.

LCM(88003,88018) = 880031 × 21 × 71 × 62871
LCM(88003,88018) = 7745848054