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What is the Least Common Multiple of 53896 and 53906?

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 53896 and 53906 is 1452658888.

LCM(53896,53906) = 1452658888

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Least Common Multiple of 53896 and 53906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53896 and 53906, than apply into the LCM equation.

GCF(53896,53906) = 2
LCM(53896,53906) = ( 53896 × 53906) / 2
LCM(53896,53906) = 2905317776 / 2
LCM(53896,53906) = 1452658888

Least Common Multiple (LCM) of 53896 and 53906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53896 and 53906. First we will calculate the prime factors of 53896 and 53906.

Prime Factorization of 53896

Prime factors of 53896 are 2, 6737. Prime factorization of 53896 in exponential form is:

53896 = 23 × 67371

Prime Factorization of 53906

Prime factors of 53906 are 2, 26953. Prime factorization of 53906 in exponential form is:

53906 = 21 × 269531

Now multiplying the highest exponent prime factors to calculate the LCM of 53896 and 53906.

LCM(53896,53906) = 23 × 67371 × 269531
LCM(53896,53906) = 1452658888