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What is the Least Common Multiple of 98841 and 98861?

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 98841 and 98861 is 9771520101.

LCM(98841,98861) = 9771520101

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Least Common Multiple of 98841 and 98861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98841 and 98861, than apply into the LCM equation.

GCF(98841,98861) = 1
LCM(98841,98861) = ( 98841 × 98861) / 1
LCM(98841,98861) = 9771520101 / 1
LCM(98841,98861) = 9771520101

Least Common Multiple (LCM) of 98841 and 98861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98841 and 98861. First we will calculate the prime factors of 98841 and 98861.

Prime Factorization of 98841

Prime factors of 98841 are 3, 47, 701. Prime factorization of 98841 in exponential form is:

98841 = 31 × 471 × 7011

Prime Factorization of 98861

Prime factors of 98861 are 7, 29, 487. Prime factorization of 98861 in exponential form is:

98861 = 71 × 291 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 98841 and 98861.

LCM(98841,98861) = 31 × 471 × 7011 × 71 × 291 × 4871
LCM(98841,98861) = 9771520101