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What is the Least Common Multiple of 97603 and 97609?

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 97603 and 97609 is 9526931227.

LCM(97603,97609) = 9526931227

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Least Common Multiple of 97603 and 97609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97603 and 97609, than apply into the LCM equation.

GCF(97603,97609) = 1
LCM(97603,97609) = ( 97603 × 97609) / 1
LCM(97603,97609) = 9526931227 / 1
LCM(97603,97609) = 9526931227

Least Common Multiple (LCM) of 97603 and 97609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97603 and 97609. First we will calculate the prime factors of 97603 and 97609.

Prime Factorization of 97603

Prime factors of 97603 are 11, 19, 467. Prime factorization of 97603 in exponential form is:

97603 = 111 × 191 × 4671

Prime Factorization of 97609

Prime factors of 97609 are 97609. Prime factorization of 97609 in exponential form is:

97609 = 976091

Now multiplying the highest exponent prime factors to calculate the LCM of 97603 and 97609.

LCM(97603,97609) = 111 × 191 × 4671 × 976091
LCM(97603,97609) = 9526931227