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What is the Least Common Multiple of 91256 and 91265?

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 91256 and 91265 is 8328478840.

LCM(91256,91265) = 8328478840

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Least Common Multiple of 91256 and 91265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91256 and 91265, than apply into the LCM equation.

GCF(91256,91265) = 1
LCM(91256,91265) = ( 91256 × 91265) / 1
LCM(91256,91265) = 8328478840 / 1
LCM(91256,91265) = 8328478840

Least Common Multiple (LCM) of 91256 and 91265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91256 and 91265. First we will calculate the prime factors of 91256 and 91265.

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

Prime Factorization of 91265

Prime factors of 91265 are 5, 18253. Prime factorization of 91265 in exponential form is:

91265 = 51 × 182531

Now multiplying the highest exponent prime factors to calculate the LCM of 91256 and 91265.

LCM(91256,91265) = 23 × 111 × 171 × 611 × 51 × 182531
LCM(91256,91265) = 8328478840