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What is the Least Common Multiple of 96196 and 96203?

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 96196 and 96203 is 9254343788.

LCM(96196,96203) = 9254343788

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Least Common Multiple of 96196 and 96203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96196 and 96203, than apply into the LCM equation.

GCF(96196,96203) = 1
LCM(96196,96203) = ( 96196 × 96203) / 1
LCM(96196,96203) = 9254343788 / 1
LCM(96196,96203) = 9254343788

Least Common Multiple (LCM) of 96196 and 96203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96196 and 96203. First we will calculate the prime factors of 96196 and 96203.

Prime Factorization of 96196

Prime factors of 96196 are 2, 24049. Prime factorization of 96196 in exponential form is:

96196 = 22 × 240491

Prime Factorization of 96203

Prime factors of 96203 are 17, 5659. Prime factorization of 96203 in exponential form is:

96203 = 171 × 56591

Now multiplying the highest exponent prime factors to calculate the LCM of 96196 and 96203.

LCM(96196,96203) = 22 × 240491 × 171 × 56591
LCM(96196,96203) = 9254343788