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What is the Least Common Multiple of 98603 and 98620?

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 98603 and 98620 is 9724227860.

LCM(98603,98620) = 9724227860

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Least Common Multiple of 98603 and 98620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98603 and 98620, than apply into the LCM equation.

GCF(98603,98620) = 1
LCM(98603,98620) = ( 98603 × 98620) / 1
LCM(98603,98620) = 9724227860 / 1
LCM(98603,98620) = 9724227860

Least Common Multiple (LCM) of 98603 and 98620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98603 and 98620. First we will calculate the prime factors of 98603 and 98620.

Prime Factorization of 98603

Prime factors of 98603 are 151, 653. Prime factorization of 98603 in exponential form is:

98603 = 1511 × 6531

Prime Factorization of 98620

Prime factors of 98620 are 2, 5, 4931. Prime factorization of 98620 in exponential form is:

98620 = 22 × 51 × 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 98603 and 98620.

LCM(98603,98620) = 1511 × 6531 × 22 × 51 × 49311
LCM(98603,98620) = 9724227860