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What is the Least Common Multiple of 91218 and 91222?

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 91218 and 91222 is 4160544198.

LCM(91218,91222) = 4160544198

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Least Common Multiple of 91218 and 91222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91218 and 91222, than apply into the LCM equation.

GCF(91218,91222) = 2
LCM(91218,91222) = ( 91218 × 91222) / 2
LCM(91218,91222) = 8321088396 / 2
LCM(91218,91222) = 4160544198

Least Common Multiple (LCM) of 91218 and 91222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91218 and 91222. First we will calculate the prime factors of 91218 and 91222.

Prime Factorization of 91218

Prime factors of 91218 are 2, 3, 23, 661. Prime factorization of 91218 in exponential form is:

91218 = 21 × 31 × 231 × 6611

Prime Factorization of 91222

Prime factors of 91222 are 2, 17, 2683. Prime factorization of 91222 in exponential form is:

91222 = 21 × 171 × 26831

Now multiplying the highest exponent prime factors to calculate the LCM of 91218 and 91222.

LCM(91218,91222) = 21 × 31 × 231 × 6611 × 171 × 26831
LCM(91218,91222) = 4160544198