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What is the Least Common Multiple of 91229 and 91244?

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 91229 and 91244 is 8324098876.

LCM(91229,91244) = 8324098876

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Least Common Multiple of 91229 and 91244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91229 and 91244, than apply into the LCM equation.

GCF(91229,91244) = 1
LCM(91229,91244) = ( 91229 × 91244) / 1
LCM(91229,91244) = 8324098876 / 1
LCM(91229,91244) = 8324098876

Least Common Multiple (LCM) of 91229 and 91244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91229 and 91244. First we will calculate the prime factors of 91229 and 91244.

Prime Factorization of 91229

Prime factors of 91229 are 91229. Prime factorization of 91229 in exponential form is:

91229 = 912291

Prime Factorization of 91244

Prime factors of 91244 are 2, 22811. Prime factorization of 91244 in exponential form is:

91244 = 22 × 228111

Now multiplying the highest exponent prime factors to calculate the LCM of 91229 and 91244.

LCM(91229,91244) = 912291 × 22 × 228111
LCM(91229,91244) = 8324098876