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What is the Least Common Multiple of 96203 and 96211?

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 96203 and 96211 is 9255786833.

LCM(96203,96211) = 9255786833

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Least Common Multiple of 96203 and 96211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96203 and 96211, than apply into the LCM equation.

GCF(96203,96211) = 1
LCM(96203,96211) = ( 96203 × 96211) / 1
LCM(96203,96211) = 9255786833 / 1
LCM(96203,96211) = 9255786833

Least Common Multiple (LCM) of 96203 and 96211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96203 and 96211. First we will calculate the prime factors of 96203 and 96211.

Prime Factorization of 96203

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

96203 = 171 × 56591

Prime Factorization of 96211

Prime factors of 96211 are 96211. Prime factorization of 96211 in exponential form is:

96211 = 962111

Now multiplying the highest exponent prime factors to calculate the LCM of 96203 and 96211.

LCM(96203,96211) = 171 × 56591 × 962111
LCM(96203,96211) = 9255786833