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What is the Least Common Multiple of 91215 and 91234?

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 91215 and 91234 is 8321909310.

LCM(91215,91234) = 8321909310

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Least Common Multiple of 91215 and 91234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91215 and 91234, than apply into the LCM equation.

GCF(91215,91234) = 1
LCM(91215,91234) = ( 91215 × 91234) / 1
LCM(91215,91234) = 8321909310 / 1
LCM(91215,91234) = 8321909310

Least Common Multiple (LCM) of 91215 and 91234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91215 and 91234. First we will calculate the prime factors of 91215 and 91234.

Prime Factorization of 91215

Prime factors of 91215 are 3, 5, 2027. Prime factorization of 91215 in exponential form is:

91215 = 32 × 51 × 20271

Prime Factorization of 91234

Prime factors of 91234 are 2, 11, 13, 29. Prime factorization of 91234 in exponential form is:

91234 = 21 × 112 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 91215 and 91234.

LCM(91215,91234) = 32 × 51 × 20271 × 21 × 112 × 131 × 291
LCM(91215,91234) = 8321909310