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What is the Least Common Multiple of 98362 and 98373?

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 98362 and 98373 is 879651366.

LCM(98362,98373) = 879651366

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Least Common Multiple of 98362 and 98373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98362 and 98373, than apply into the LCM equation.

GCF(98362,98373) = 11
LCM(98362,98373) = ( 98362 × 98373) / 11
LCM(98362,98373) = 9676165026 / 11
LCM(98362,98373) = 879651366

Least Common Multiple (LCM) of 98362 and 98373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98362 and 98373. First we will calculate the prime factors of 98362 and 98373.

Prime Factorization of 98362

Prime factors of 98362 are 2, 11, 17, 263. Prime factorization of 98362 in exponential form is:

98362 = 21 × 111 × 171 × 2631

Prime Factorization of 98373

Prime factors of 98373 are 3, 11, 271. Prime factorization of 98373 in exponential form is:

98373 = 31 × 112 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 98362 and 98373.

LCM(98362,98373) = 21 × 112 × 171 × 2631 × 31 × 2711
LCM(98362,98373) = 879651366