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What is the Least Common Multiple of 68991 and 68999?

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 68991 and 68999 is 4760310009.

LCM(68991,68999) = 4760310009

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Least Common Multiple of 68991 and 68999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68991 and 68999, than apply into the LCM equation.

GCF(68991,68999) = 1
LCM(68991,68999) = ( 68991 × 68999) / 1
LCM(68991,68999) = 4760310009 / 1
LCM(68991,68999) = 4760310009

Least Common Multiple (LCM) of 68991 and 68999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68991 and 68999. First we will calculate the prime factors of 68991 and 68999.

Prime Factorization of 68991

Prime factors of 68991 are 3, 13, 29, 61. Prime factorization of 68991 in exponential form is:

68991 = 31 × 131 × 291 × 611

Prime Factorization of 68999

Prime factors of 68999 are 7, 9857. Prime factorization of 68999 in exponential form is:

68999 = 71 × 98571

Now multiplying the highest exponent prime factors to calculate the LCM of 68991 and 68999.

LCM(68991,68999) = 31 × 131 × 291 × 611 × 71 × 98571
LCM(68991,68999) = 4760310009