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What is the Least Common Multiple of 68397 and 68414?

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 68397 and 68414 is 4679312358.

LCM(68397,68414) = 4679312358

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Least Common Multiple of 68397 and 68414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68397 and 68414, than apply into the LCM equation.

GCF(68397,68414) = 1
LCM(68397,68414) = ( 68397 × 68414) / 1
LCM(68397,68414) = 4679312358 / 1
LCM(68397,68414) = 4679312358

Least Common Multiple (LCM) of 68397 and 68414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68397 and 68414. First we will calculate the prime factors of 68397 and 68414.

Prime Factorization of 68397

Prime factors of 68397 are 3, 7, 3257. Prime factorization of 68397 in exponential form is:

68397 = 31 × 71 × 32571

Prime Factorization of 68414

Prime factors of 68414 are 2, 79, 433. Prime factorization of 68414 in exponential form is:

68414 = 21 × 791 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 68397 and 68414.

LCM(68397,68414) = 31 × 71 × 32571 × 21 × 791 × 4331
LCM(68397,68414) = 4679312358