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What is the Least Common Multiple of 91925 and 91936?

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 91925 and 91936 is 8451216800.

LCM(91925,91936) = 8451216800

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Least Common Multiple of 91925 and 91936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91925 and 91936, than apply into the LCM equation.

GCF(91925,91936) = 1
LCM(91925,91936) = ( 91925 × 91936) / 1
LCM(91925,91936) = 8451216800 / 1
LCM(91925,91936) = 8451216800

Least Common Multiple (LCM) of 91925 and 91936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91925 and 91936. First we will calculate the prime factors of 91925 and 91936.

Prime Factorization of 91925

Prime factors of 91925 are 5, 3677. Prime factorization of 91925 in exponential form is:

91925 = 52 × 36771

Prime Factorization of 91936

Prime factors of 91936 are 2, 13, 17. Prime factorization of 91936 in exponential form is:

91936 = 25 × 132 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 91925 and 91936.

LCM(91925,91936) = 52 × 36771 × 25 × 132 × 171
LCM(91925,91936) = 8451216800