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What is the Least Common Multiple of 68191 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 68191 and 68208 is 4651171728.

LCM(68191,68208) = 4651171728

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Least Common Multiple of 68191 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 68191 and 68208, than apply into the LCM equation.

GCF(68191,68208) = 1
LCM(68191,68208) = ( 68191 × 68208) / 1
LCM(68191,68208) = 4651171728 / 1
LCM(68191,68208) = 4651171728

Least Common Multiple (LCM) of 68191 and 68208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68191 and 68208. First we will calculate the prime factors of 68191 and 68208.

Prime Factorization of 68191

Prime factors of 68191 are 19, 37, 97. Prime factorization of 68191 in exponential form is:

68191 = 191 × 371 × 971

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 68191 and 68208.

LCM(68191,68208) = 191 × 371 × 971 × 24 × 31 × 72 × 291
LCM(68191,68208) = 4651171728