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What is the Least Common Multiple of 68431 and 68436?

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 68431 and 68436 is 4683143916.

LCM(68431,68436) = 4683143916

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Least Common Multiple of 68431 and 68436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68431 and 68436, than apply into the LCM equation.

GCF(68431,68436) = 1
LCM(68431,68436) = ( 68431 × 68436) / 1
LCM(68431,68436) = 4683143916 / 1
LCM(68431,68436) = 4683143916

Least Common Multiple (LCM) of 68431 and 68436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68431 and 68436. First we will calculate the prime factors of 68431 and 68436.

Prime Factorization of 68431

Prime factors of 68431 are 11, 6221. Prime factorization of 68431 in exponential form is:

68431 = 111 × 62211

Prime Factorization of 68436

Prime factors of 68436 are 2, 3, 1901. Prime factorization of 68436 in exponential form is:

68436 = 22 × 32 × 19011

Now multiplying the highest exponent prime factors to calculate the LCM of 68431 and 68436.

LCM(68431,68436) = 111 × 62211 × 22 × 32 × 19011
LCM(68431,68436) = 4683143916