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What is the Least Common Multiple of 98437 and 98445?

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 98437 and 98445 is 9690630465.

LCM(98437,98445) = 9690630465

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Least Common Multiple of 98437 and 98445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98437 and 98445, than apply into the LCM equation.

GCF(98437,98445) = 1
LCM(98437,98445) = ( 98437 × 98445) / 1
LCM(98437,98445) = 9690630465 / 1
LCM(98437,98445) = 9690630465

Least Common Multiple (LCM) of 98437 and 98445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98437 and 98445. First we will calculate the prime factors of 98437 and 98445.

Prime Factorization of 98437

Prime factors of 98437 are 173, 569. Prime factorization of 98437 in exponential form is:

98437 = 1731 × 5691

Prime Factorization of 98445

Prime factors of 98445 are 3, 5, 6563. Prime factorization of 98445 in exponential form is:

98445 = 31 × 51 × 65631

Now multiplying the highest exponent prime factors to calculate the LCM of 98437 and 98445.

LCM(98437,98445) = 1731 × 5691 × 31 × 51 × 65631
LCM(98437,98445) = 9690630465