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What is the Least Common Multiple of 98061 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 98061 and 98067 is 3205516029.

LCM(98061,98067) = 3205516029

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Least Common Multiple of 98061 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 98061 and 98067, than apply into the LCM equation.

GCF(98061,98067) = 3
LCM(98061,98067) = ( 98061 × 98067) / 3
LCM(98061,98067) = 9616548087 / 3
LCM(98061,98067) = 3205516029

Least Common Multiple (LCM) of 98061 and 98067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98061 and 98067. First we will calculate the prime factors of 98061 and 98067.

Prime Factorization of 98061

Prime factors of 98061 are 3, 32687. Prime factorization of 98061 in exponential form is:

98061 = 31 × 326871

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 98061 and 98067.

LCM(98061,98067) = 31 × 326871 × 971 × 3371
LCM(98061,98067) = 3205516029