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What is the Least Common Multiple of 67923 and 67936?

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 67923 and 67936 is 4614416928.

LCM(67923,67936) = 4614416928

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Least Common Multiple of 67923 and 67936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67923 and 67936, than apply into the LCM equation.

GCF(67923,67936) = 1
LCM(67923,67936) = ( 67923 × 67936) / 1
LCM(67923,67936) = 4614416928 / 1
LCM(67923,67936) = 4614416928

Least Common Multiple (LCM) of 67923 and 67936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67923 and 67936. First we will calculate the prime factors of 67923 and 67936.

Prime Factorization of 67923

Prime factors of 67923 are 3, 7547. Prime factorization of 67923 in exponential form is:

67923 = 32 × 75471

Prime Factorization of 67936

Prime factors of 67936 are 2, 11, 193. Prime factorization of 67936 in exponential form is:

67936 = 25 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 67923 and 67936.

LCM(67923,67936) = 32 × 75471 × 25 × 111 × 1931
LCM(67923,67936) = 4614416928