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What is the Least Common Multiple of 91896 and 91906?

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 91896 and 91906 is 4222896888.

LCM(91896,91906) = 4222896888

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Least Common Multiple of 91896 and 91906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91896 and 91906, than apply into the LCM equation.

GCF(91896,91906) = 2
LCM(91896,91906) = ( 91896 × 91906) / 2
LCM(91896,91906) = 8445793776 / 2
LCM(91896,91906) = 4222896888

Least Common Multiple (LCM) of 91896 and 91906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91896 and 91906. First we will calculate the prime factors of 91896 and 91906.

Prime Factorization of 91896

Prime factors of 91896 are 2, 3, 7, 547. Prime factorization of 91896 in exponential form is:

91896 = 23 × 31 × 71 × 5471

Prime Factorization of 91906

Prime factors of 91906 are 2, 45953. Prime factorization of 91906 in exponential form is:

91906 = 21 × 459531

Now multiplying the highest exponent prime factors to calculate the LCM of 91896 and 91906.

LCM(91896,91906) = 23 × 31 × 71 × 5471 × 459531
LCM(91896,91906) = 4222896888