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What is the Least Common Multiple of 96953 and 96973?

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 96953 and 96973 is 9401823269.

LCM(96953,96973) = 9401823269

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Least Common Multiple of 96953 and 96973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96953 and 96973, than apply into the LCM equation.

GCF(96953,96973) = 1
LCM(96953,96973) = ( 96953 × 96973) / 1
LCM(96953,96973) = 9401823269 / 1
LCM(96953,96973) = 9401823269

Least Common Multiple (LCM) of 96953 and 96973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96953 and 96973. First we will calculate the prime factors of 96953 and 96973.

Prime Factorization of 96953

Prime factors of 96953 are 96953. Prime factorization of 96953 in exponential form is:

96953 = 969531

Prime Factorization of 96973

Prime factors of 96973 are 96973. Prime factorization of 96973 in exponential form is:

96973 = 969731

Now multiplying the highest exponent prime factors to calculate the LCM of 96953 and 96973.

LCM(96953,96973) = 969531 × 969731
LCM(96953,96973) = 9401823269