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What is the Least Common Multiple of 68198 and 68208?

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 68198 and 68208 is 2325824592.

LCM(68198,68208) = 2325824592

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Least Common Multiple of 68198 and 68208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68198 and 68208, than apply into the LCM equation.

GCF(68198,68208) = 2
LCM(68198,68208) = ( 68198 × 68208) / 2
LCM(68198,68208) = 4651649184 / 2
LCM(68198,68208) = 2325824592

Least Common Multiple (LCM) of 68198 and 68208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68198 and 68208. First we will calculate the prime factors of 68198 and 68208.

Prime Factorization of 68198

Prime factors of 68198 are 2, 13, 43, 61. Prime factorization of 68198 in exponential form is:

68198 = 21 × 131 × 431 × 611

Prime Factorization of 68208

Prime factors of 68208 are 2, 3, 7, 29. Prime factorization of 68208 in exponential form is:

68208 = 24 × 31 × 72 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 68198 and 68208.

LCM(68198,68208) = 24 × 131 × 431 × 611 × 31 × 72 × 291
LCM(68198,68208) = 2325824592