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What is the Least Common Multiple of 91770 and 91774?

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 91770 and 91774 is 4211049990.

LCM(91770,91774) = 4211049990

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Least Common Multiple of 91770 and 91774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91770 and 91774, than apply into the LCM equation.

GCF(91770,91774) = 2
LCM(91770,91774) = ( 91770 × 91774) / 2
LCM(91770,91774) = 8422099980 / 2
LCM(91770,91774) = 4211049990

Least Common Multiple (LCM) of 91770 and 91774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91770 and 91774. First we will calculate the prime factors of 91770 and 91774.

Prime Factorization of 91770

Prime factors of 91770 are 2, 3, 5, 7, 19, 23. Prime factorization of 91770 in exponential form is:

91770 = 21 × 31 × 51 × 71 × 191 × 231

Prime Factorization of 91774

Prime factors of 91774 are 2, 45887. Prime factorization of 91774 in exponential form is:

91774 = 21 × 458871

Now multiplying the highest exponent prime factors to calculate the LCM of 91770 and 91774.

LCM(91770,91774) = 21 × 31 × 51 × 71 × 191 × 231 × 458871
LCM(91770,91774) = 4211049990