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What is the Least Common Multiple of 91270 and 91287?

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 91270 and 91287 is 8331764490.

LCM(91270,91287) = 8331764490

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Least Common Multiple of 91270 and 91287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91270 and 91287, than apply into the LCM equation.

GCF(91270,91287) = 1
LCM(91270,91287) = ( 91270 × 91287) / 1
LCM(91270,91287) = 8331764490 / 1
LCM(91270,91287) = 8331764490

Least Common Multiple (LCM) of 91270 and 91287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91270 and 91287. First we will calculate the prime factors of 91270 and 91287.

Prime Factorization of 91270

Prime factors of 91270 are 2, 5, 9127. Prime factorization of 91270 in exponential form is:

91270 = 21 × 51 × 91271

Prime Factorization of 91287

Prime factors of 91287 are 3, 7, 23. Prime factorization of 91287 in exponential form is:

91287 = 34 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 91270 and 91287.

LCM(91270,91287) = 21 × 51 × 91271 × 34 × 72 × 231
LCM(91270,91287) = 8331764490