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What is the Least Common Multiple of 68923 and 68940?

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 68923 and 68940 is 4751551620.

LCM(68923,68940) = 4751551620

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Least Common Multiple of 68923 and 68940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68923 and 68940, than apply into the LCM equation.

GCF(68923,68940) = 1
LCM(68923,68940) = ( 68923 × 68940) / 1
LCM(68923,68940) = 4751551620 / 1
LCM(68923,68940) = 4751551620

Least Common Multiple (LCM) of 68923 and 68940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68923 and 68940. First we will calculate the prime factors of 68923 and 68940.

Prime Factorization of 68923

Prime factors of 68923 are 157, 439. Prime factorization of 68923 in exponential form is:

68923 = 1571 × 4391

Prime Factorization of 68940

Prime factors of 68940 are 2, 3, 5, 383. Prime factorization of 68940 in exponential form is:

68940 = 22 × 32 × 51 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 68923 and 68940.

LCM(68923,68940) = 1571 × 4391 × 22 × 32 × 51 × 3831
LCM(68923,68940) = 4751551620