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What is the Least Common Multiple of 97463 and 97481?

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 97463 and 97481 is 9500790703.

LCM(97463,97481) = 9500790703

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Least Common Multiple of 97463 and 97481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97463 and 97481, than apply into the LCM equation.

GCF(97463,97481) = 1
LCM(97463,97481) = ( 97463 × 97481) / 1
LCM(97463,97481) = 9500790703 / 1
LCM(97463,97481) = 9500790703

Least Common Multiple (LCM) of 97463 and 97481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97463 and 97481. First we will calculate the prime factors of 97463 and 97481.

Prime Factorization of 97463

Prime factors of 97463 are 97463. Prime factorization of 97463 in exponential form is:

97463 = 974631

Prime Factorization of 97481

Prime factors of 97481 are 43, 2267. Prime factorization of 97481 in exponential form is:

97481 = 431 × 22671

Now multiplying the highest exponent prime factors to calculate the LCM of 97463 and 97481.

LCM(97463,97481) = 974631 × 431 × 22671
LCM(97463,97481) = 9500790703