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What is the Least Common Multiple of 68380 and 68396?

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 68380 and 68396 is 1169229620.

LCM(68380,68396) = 1169229620

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Least Common Multiple of 68380 and 68396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68380 and 68396, than apply into the LCM equation.

GCF(68380,68396) = 4
LCM(68380,68396) = ( 68380 × 68396) / 4
LCM(68380,68396) = 4676918480 / 4
LCM(68380,68396) = 1169229620

Least Common Multiple (LCM) of 68380 and 68396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68380 and 68396. First we will calculate the prime factors of 68380 and 68396.

Prime Factorization of 68380

Prime factors of 68380 are 2, 5, 13, 263. Prime factorization of 68380 in exponential form is:

68380 = 22 × 51 × 131 × 2631

Prime Factorization of 68396

Prime factors of 68396 are 2, 17099. Prime factorization of 68396 in exponential form is:

68396 = 22 × 170991

Now multiplying the highest exponent prime factors to calculate the LCM of 68380 and 68396.

LCM(68380,68396) = 22 × 51 × 131 × 2631 × 170991
LCM(68380,68396) = 1169229620