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What is the Least Common Multiple of 68003 and 68023?

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 68003 and 68023 is 4625768069.

LCM(68003,68023) = 4625768069

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Least Common Multiple of 68003 and 68023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68003 and 68023, than apply into the LCM equation.

GCF(68003,68023) = 1
LCM(68003,68023) = ( 68003 × 68023) / 1
LCM(68003,68023) = 4625768069 / 1
LCM(68003,68023) = 4625768069

Least Common Multiple (LCM) of 68003 and 68023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68003 and 68023. First we will calculate the prime factors of 68003 and 68023.

Prime Factorization of 68003

Prime factors of 68003 are 13, 5231. Prime factorization of 68003 in exponential form is:

68003 = 131 × 52311

Prime Factorization of 68023

Prime factors of 68023 are 68023. Prime factorization of 68023 in exponential form is:

68023 = 680231

Now multiplying the highest exponent prime factors to calculate the LCM of 68003 and 68023.

LCM(68003,68023) = 131 × 52311 × 680231
LCM(68003,68023) = 4625768069