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What is the Least Common Multiple of 84988 and 84998?

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 84988 and 84998 is 3611905012.

LCM(84988,84998) = 3611905012

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Least Common Multiple of 84988 and 84998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84988 and 84998, than apply into the LCM equation.

GCF(84988,84998) = 2
LCM(84988,84998) = ( 84988 × 84998) / 2
LCM(84988,84998) = 7223810024 / 2
LCM(84988,84998) = 3611905012

Least Common Multiple (LCM) of 84988 and 84998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84988 and 84998. First we will calculate the prime factors of 84988 and 84998.

Prime Factorization of 84988

Prime factors of 84988 are 2, 21247. Prime factorization of 84988 in exponential form is:

84988 = 22 × 212471

Prime Factorization of 84998

Prime factors of 84998 are 2, 42499. Prime factorization of 84998 in exponential form is:

84998 = 21 × 424991

Now multiplying the highest exponent prime factors to calculate the LCM of 84988 and 84998.

LCM(84988,84998) = 22 × 212471 × 424991
LCM(84988,84998) = 3611905012