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What is the Least Common Multiple of 91275 and 91290?

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 91275 and 91290 is 555499650.

LCM(91275,91290) = 555499650

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Least Common Multiple of 91275 and 91290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91275 and 91290, than apply into the LCM equation.

GCF(91275,91290) = 15
LCM(91275,91290) = ( 91275 × 91290) / 15
LCM(91275,91290) = 8332494750 / 15
LCM(91275,91290) = 555499650

Least Common Multiple (LCM) of 91275 and 91290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91275 and 91290. First we will calculate the prime factors of 91275 and 91290.

Prime Factorization of 91275

Prime factors of 91275 are 3, 5, 1217. Prime factorization of 91275 in exponential form is:

91275 = 31 × 52 × 12171

Prime Factorization of 91290

Prime factors of 91290 are 2, 3, 5, 17, 179. Prime factorization of 91290 in exponential form is:

91290 = 21 × 31 × 51 × 171 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 91275 and 91290.

LCM(91275,91290) = 31 × 52 × 12171 × 21 × 171 × 1791
LCM(91275,91290) = 555499650