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What is the Least Common Multiple of 67992 and 68003?

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 67992 and 68003 is 4623659976.

LCM(67992,68003) = 4623659976

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Least Common Multiple of 67992 and 68003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67992 and 68003, than apply into the LCM equation.

GCF(67992,68003) = 1
LCM(67992,68003) = ( 67992 × 68003) / 1
LCM(67992,68003) = 4623659976 / 1
LCM(67992,68003) = 4623659976

Least Common Multiple (LCM) of 67992 and 68003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67992 and 68003. First we will calculate the prime factors of 67992 and 68003.

Prime Factorization of 67992

Prime factors of 67992 are 2, 3, 2833. Prime factorization of 67992 in exponential form is:

67992 = 23 × 31 × 28331

Prime Factorization of 68003

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

68003 = 131 × 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 67992 and 68003.

LCM(67992,68003) = 23 × 31 × 28331 × 131 × 52311
LCM(67992,68003) = 4623659976