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What is the Least Common Multiple of 98057 and 98067?

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 98057 and 98067 is 9616155819.

LCM(98057,98067) = 9616155819

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Least Common Multiple of 98057 and 98067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98057 and 98067, than apply into the LCM equation.

GCF(98057,98067) = 1
LCM(98057,98067) = ( 98057 × 98067) / 1
LCM(98057,98067) = 9616155819 / 1
LCM(98057,98067) = 9616155819

Least Common Multiple (LCM) of 98057 and 98067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98057 and 98067. First we will calculate the prime factors of 98057 and 98067.

Prime Factorization of 98057

Prime factors of 98057 are 98057. Prime factorization of 98057 in exponential form is:

98057 = 980571

Prime Factorization of 98067

Prime factors of 98067 are 3, 97, 337. Prime factorization of 98067 in exponential form is:

98067 = 31 × 971 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 98057 and 98067.

LCM(98057,98067) = 980571 × 31 × 971 × 3371
LCM(98057,98067) = 9616155819