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What is the Least Common Multiple of 91546 and 91552?

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 91546 and 91552 is 4190609696.

LCM(91546,91552) = 4190609696

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Least Common Multiple of 91546 and 91552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91546 and 91552, than apply into the LCM equation.

GCF(91546,91552) = 2
LCM(91546,91552) = ( 91546 × 91552) / 2
LCM(91546,91552) = 8381219392 / 2
LCM(91546,91552) = 4190609696

Least Common Multiple (LCM) of 91546 and 91552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91546 and 91552. First we will calculate the prime factors of 91546 and 91552.

Prime Factorization of 91546

Prime factors of 91546 are 2, 7, 13, 503. Prime factorization of 91546 in exponential form is:

91546 = 21 × 71 × 131 × 5031

Prime Factorization of 91552

Prime factors of 91552 are 2, 2861. Prime factorization of 91552 in exponential form is:

91552 = 25 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 91546 and 91552.

LCM(91546,91552) = 25 × 71 × 131 × 5031 × 28611
LCM(91546,91552) = 4190609696