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What is the Least Common Multiple of 98603 and 98610?

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 98610 is 9723241830.

LCM(98603,98610) = 9723241830

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Least Common Multiple of 98603 and 98610 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 98610, than apply into the LCM equation.

GCF(98603,98610) = 1
LCM(98603,98610) = ( 98603 × 98610) / 1
LCM(98603,98610) = 9723241830 / 1
LCM(98603,98610) = 9723241830

Least Common Multiple (LCM) of 98603 and 98610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98603 and 98610. First we will calculate the prime factors of 98603 and 98610.

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 98610

Prime factors of 98610 are 2, 3, 5, 19, 173. Prime factorization of 98610 in exponential form is:

98610 = 21 × 31 × 51 × 191 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 98603 and 98610.

LCM(98603,98610) = 1511 × 6531 × 21 × 31 × 51 × 191 × 1731
LCM(98603,98610) = 9723241830