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What is the Least Common Multiple of 91850 and 91855?

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 91850 and 91855 is 1687376350.

LCM(91850,91855) = 1687376350

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Least Common Multiple of 91850 and 91855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91850 and 91855, than apply into the LCM equation.

GCF(91850,91855) = 5
LCM(91850,91855) = ( 91850 × 91855) / 5
LCM(91850,91855) = 8436881750 / 5
LCM(91850,91855) = 1687376350

Least Common Multiple (LCM) of 91850 and 91855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91850 and 91855. First we will calculate the prime factors of 91850 and 91855.

Prime Factorization of 91850

Prime factors of 91850 are 2, 5, 11, 167. Prime factorization of 91850 in exponential form is:

91850 = 21 × 52 × 111 × 1671

Prime Factorization of 91855

Prime factors of 91855 are 5, 18371. Prime factorization of 91855 in exponential form is:

91855 = 51 × 183711

Now multiplying the highest exponent prime factors to calculate the LCM of 91850 and 91855.

LCM(91850,91855) = 21 × 52 × 111 × 1671 × 183711
LCM(91850,91855) = 1687376350