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What is the Least Common Multiple of 68004 and 68024?

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 68004 and 68024 is 1156476024.

LCM(68004,68024) = 1156476024

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Least Common Multiple of 68004 and 68024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68004 and 68024, than apply into the LCM equation.

GCF(68004,68024) = 4
LCM(68004,68024) = ( 68004 × 68024) / 4
LCM(68004,68024) = 4625904096 / 4
LCM(68004,68024) = 1156476024

Least Common Multiple (LCM) of 68004 and 68024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68004 and 68024. First we will calculate the prime factors of 68004 and 68024.

Prime Factorization of 68004

Prime factors of 68004 are 2, 3, 1889. Prime factorization of 68004 in exponential form is:

68004 = 22 × 32 × 18891

Prime Factorization of 68024

Prime factors of 68024 are 2, 11, 773. Prime factorization of 68024 in exponential form is:

68024 = 23 × 111 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 68004 and 68024.

LCM(68004,68024) = 23 × 32 × 18891 × 111 × 7731
LCM(68004,68024) = 1156476024