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What is the Least Common Multiple of 68299 and 68316?

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 68299 and 68316 is 4665914484.

LCM(68299,68316) = 4665914484

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Least Common Multiple of 68299 and 68316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68299 and 68316, than apply into the LCM equation.

GCF(68299,68316) = 1
LCM(68299,68316) = ( 68299 × 68316) / 1
LCM(68299,68316) = 4665914484 / 1
LCM(68299,68316) = 4665914484

Least Common Multiple (LCM) of 68299 and 68316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68299 and 68316. First we will calculate the prime factors of 68299 and 68316.

Prime Factorization of 68299

Prime factors of 68299 are 7, 11, 887. Prime factorization of 68299 in exponential form is:

68299 = 71 × 111 × 8871

Prime Factorization of 68316

Prime factors of 68316 are 2, 3, 5693. Prime factorization of 68316 in exponential form is:

68316 = 22 × 31 × 56931

Now multiplying the highest exponent prime factors to calculate the LCM of 68299 and 68316.

LCM(68299,68316) = 71 × 111 × 8871 × 22 × 31 × 56931
LCM(68299,68316) = 4665914484