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What is the Least Common Multiple of 68749 and 68757?

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 68749 and 68757 is 4726974993.

LCM(68749,68757) = 4726974993

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Least Common Multiple of 68749 and 68757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68749 and 68757, than apply into the LCM equation.

GCF(68749,68757) = 1
LCM(68749,68757) = ( 68749 × 68757) / 1
LCM(68749,68757) = 4726974993 / 1
LCM(68749,68757) = 4726974993

Least Common Multiple (LCM) of 68749 and 68757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68749 and 68757. First we will calculate the prime factors of 68749 and 68757.

Prime Factorization of 68749

Prime factors of 68749 are 68749. Prime factorization of 68749 in exponential form is:

68749 = 687491

Prime Factorization of 68757

Prime factors of 68757 are 3, 13, 41, 43. Prime factorization of 68757 in exponential form is:

68757 = 31 × 131 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 68749 and 68757.

LCM(68749,68757) = 687491 × 31 × 131 × 411 × 431
LCM(68749,68757) = 4726974993