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What is the Least Common Multiple of 98466 and 98483?

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 98466 and 98483 is 9697227078.

LCM(98466,98483) = 9697227078

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Least Common Multiple of 98466 and 98483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98466 and 98483, than apply into the LCM equation.

GCF(98466,98483) = 1
LCM(98466,98483) = ( 98466 × 98483) / 1
LCM(98466,98483) = 9697227078 / 1
LCM(98466,98483) = 9697227078

Least Common Multiple (LCM) of 98466 and 98483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98466 and 98483. First we will calculate the prime factors of 98466 and 98483.

Prime Factorization of 98466

Prime factors of 98466 are 2, 3, 16411. Prime factorization of 98466 in exponential form is:

98466 = 21 × 31 × 164111

Prime Factorization of 98483

Prime factors of 98483 are 7, 11, 1279. Prime factorization of 98483 in exponential form is:

98483 = 71 × 111 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 98466 and 98483.

LCM(98466,98483) = 21 × 31 × 164111 × 71 × 111 × 12791
LCM(98466,98483) = 9697227078