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What is the Least Common Multiple of 91245 and 91256?

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 91245 and 91256 is 756968520.

LCM(91245,91256) = 756968520

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Least Common Multiple of 91245 and 91256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91245 and 91256, than apply into the LCM equation.

GCF(91245,91256) = 11
LCM(91245,91256) = ( 91245 × 91256) / 11
LCM(91245,91256) = 8326653720 / 11
LCM(91245,91256) = 756968520

Least Common Multiple (LCM) of 91245 and 91256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91245 and 91256. First we will calculate the prime factors of 91245 and 91256.

Prime Factorization of 91245

Prime factors of 91245 are 3, 5, 7, 11, 79. Prime factorization of 91245 in exponential form is:

91245 = 31 × 51 × 71 × 111 × 791

Prime Factorization of 91256

Prime factors of 91256 are 2, 11, 17, 61. Prime factorization of 91256 in exponential form is:

91256 = 23 × 111 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 91245 and 91256.

LCM(91245,91256) = 31 × 51 × 71 × 111 × 791 × 23 × 171 × 611
LCM(91245,91256) = 756968520