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What is the Least Common Multiple of 91648 and 91654?

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 91648 and 91654 is 4199952896.

LCM(91648,91654) = 4199952896

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Least Common Multiple of 91648 and 91654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91648 and 91654, than apply into the LCM equation.

GCF(91648,91654) = 2
LCM(91648,91654) = ( 91648 × 91654) / 2
LCM(91648,91654) = 8399905792 / 2
LCM(91648,91654) = 4199952896

Least Common Multiple (LCM) of 91648 and 91654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91648 and 91654. First we will calculate the prime factors of 91648 and 91654.

Prime Factorization of 91648

Prime factors of 91648 are 2, 179. Prime factorization of 91648 in exponential form is:

91648 = 29 × 1791

Prime Factorization of 91654

Prime factors of 91654 are 2, 45827. Prime factorization of 91654 in exponential form is:

91654 = 21 × 458271

Now multiplying the highest exponent prime factors to calculate the LCM of 91648 and 91654.

LCM(91648,91654) = 29 × 1791 × 458271
LCM(91648,91654) = 4199952896