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What is the Least Common Multiple of 91443 and 91463?

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 91443 and 91463 is 8363651109.

LCM(91443,91463) = 8363651109

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Least Common Multiple of 91443 and 91463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91443 and 91463, than apply into the LCM equation.

GCF(91443,91463) = 1
LCM(91443,91463) = ( 91443 × 91463) / 1
LCM(91443,91463) = 8363651109 / 1
LCM(91443,91463) = 8363651109

Least Common Multiple (LCM) of 91443 and 91463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91443 and 91463. First we will calculate the prime factors of 91443 and 91463.

Prime Factorization of 91443

Prime factors of 91443 are 3, 11, 17, 163. Prime factorization of 91443 in exponential form is:

91443 = 31 × 111 × 171 × 1631

Prime Factorization of 91463

Prime factors of 91463 are 91463. Prime factorization of 91463 in exponential form is:

91463 = 914631

Now multiplying the highest exponent prime factors to calculate the LCM of 91443 and 91463.

LCM(91443,91463) = 31 × 111 × 171 × 1631 × 914631
LCM(91443,91463) = 8363651109