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What is the Least Common Multiple of 98684 and 98694?

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 98684 and 98694 is 4869759348.

LCM(98684,98694) = 4869759348

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Least Common Multiple of 98684 and 98694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98684 and 98694, than apply into the LCM equation.

GCF(98684,98694) = 2
LCM(98684,98694) = ( 98684 × 98694) / 2
LCM(98684,98694) = 9739518696 / 2
LCM(98684,98694) = 4869759348

Least Common Multiple (LCM) of 98684 and 98694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98684 and 98694. First we will calculate the prime factors of 98684 and 98694.

Prime Factorization of 98684

Prime factors of 98684 are 2, 24671. Prime factorization of 98684 in exponential form is:

98684 = 22 × 246711

Prime Factorization of 98694

Prime factors of 98694 are 2, 3, 5483. Prime factorization of 98694 in exponential form is:

98694 = 21 × 32 × 54831

Now multiplying the highest exponent prime factors to calculate the LCM of 98684 and 98694.

LCM(98684,98694) = 22 × 246711 × 32 × 54831
LCM(98684,98694) = 4869759348