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What is the Least Common Multiple of 97533 and 97553?

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 97533 and 97553 is 9514636749.

LCM(97533,97553) = 9514636749

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Least Common Multiple of 97533 and 97553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97533 and 97553, than apply into the LCM equation.

GCF(97533,97553) = 1
LCM(97533,97553) = ( 97533 × 97553) / 1
LCM(97533,97553) = 9514636749 / 1
LCM(97533,97553) = 9514636749

Least Common Multiple (LCM) of 97533 and 97553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97533 and 97553. First we will calculate the prime factors of 97533 and 97553.

Prime Factorization of 97533

Prime factors of 97533 are 3, 10837. Prime factorization of 97533 in exponential form is:

97533 = 32 × 108371

Prime Factorization of 97553

Prime factors of 97553 are 97553. Prime factorization of 97553 in exponential form is:

97553 = 975531

Now multiplying the highest exponent prime factors to calculate the LCM of 97533 and 97553.

LCM(97533,97553) = 32 × 108371 × 975531
LCM(97533,97553) = 9514636749