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What is the Least Common Multiple of 68886 and 68902?

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 68886 and 68902 is 2373191586.

LCM(68886,68902) = 2373191586

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Least Common Multiple of 68886 and 68902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68886 and 68902, than apply into the LCM equation.

GCF(68886,68902) = 2
LCM(68886,68902) = ( 68886 × 68902) / 2
LCM(68886,68902) = 4746383172 / 2
LCM(68886,68902) = 2373191586

Least Common Multiple (LCM) of 68886 and 68902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68886 and 68902. First we will calculate the prime factors of 68886 and 68902.

Prime Factorization of 68886

Prime factors of 68886 are 2, 3, 43, 89. Prime factorization of 68886 in exponential form is:

68886 = 21 × 32 × 431 × 891

Prime Factorization of 68902

Prime factors of 68902 are 2, 47, 733. Prime factorization of 68902 in exponential form is:

68902 = 21 × 471 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 68886 and 68902.

LCM(68886,68902) = 21 × 32 × 431 × 891 × 471 × 7331
LCM(68886,68902) = 2373191586