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What is the Least Common Multiple of 68168 and 68182?

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 68168 and 68182 is 2323915288.

LCM(68168,68182) = 2323915288

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Least Common Multiple of 68168 and 68182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68168 and 68182, than apply into the LCM equation.

GCF(68168,68182) = 2
LCM(68168,68182) = ( 68168 × 68182) / 2
LCM(68168,68182) = 4647830576 / 2
LCM(68168,68182) = 2323915288

Least Common Multiple (LCM) of 68168 and 68182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68168 and 68182. First we will calculate the prime factors of 68168 and 68182.

Prime Factorization of 68168

Prime factors of 68168 are 2, 8521. Prime factorization of 68168 in exponential form is:

68168 = 23 × 85211

Prime Factorization of 68182

Prime factors of 68182 are 2, 73, 467. Prime factorization of 68182 in exponential form is:

68182 = 21 × 731 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 68168 and 68182.

LCM(68168,68182) = 23 × 85211 × 731 × 4671
LCM(68168,68182) = 2323915288