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What is the Least Common Multiple of 97484 and 97493?

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 97484 and 97493 is 9504007612.

LCM(97484,97493) = 9504007612

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Least Common Multiple of 97484 and 97493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97484 and 97493, than apply into the LCM equation.

GCF(97484,97493) = 1
LCM(97484,97493) = ( 97484 × 97493) / 1
LCM(97484,97493) = 9504007612 / 1
LCM(97484,97493) = 9504007612

Least Common Multiple (LCM) of 97484 and 97493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97484 and 97493. First we will calculate the prime factors of 97484 and 97493.

Prime Factorization of 97484

Prime factors of 97484 are 2, 24371. Prime factorization of 97484 in exponential form is:

97484 = 22 × 243711

Prime Factorization of 97493

Prime factors of 97493 are 11, 8863. Prime factorization of 97493 in exponential form is:

97493 = 111 × 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 97484 and 97493.

LCM(97484,97493) = 22 × 243711 × 111 × 88631
LCM(97484,97493) = 9504007612