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What is the Least Common Multiple of 84973 and 84983?

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 84973 and 84983 is 7221260459.

LCM(84973,84983) = 7221260459

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Least Common Multiple of 84973 and 84983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84973 and 84983, than apply into the LCM equation.

GCF(84973,84983) = 1
LCM(84973,84983) = ( 84973 × 84983) / 1
LCM(84973,84983) = 7221260459 / 1
LCM(84973,84983) = 7221260459

Least Common Multiple (LCM) of 84973 and 84983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84973 and 84983. First we will calculate the prime factors of 84973 and 84983.

Prime Factorization of 84973

Prime factors of 84973 are 7, 61, 199. Prime factorization of 84973 in exponential form is:

84973 = 71 × 611 × 1991

Prime Factorization of 84983

Prime factors of 84983 are 17, 4999. Prime factorization of 84983 in exponential form is:

84983 = 171 × 49991

Now multiplying the highest exponent prime factors to calculate the LCM of 84973 and 84983.

LCM(84973,84983) = 71 × 611 × 1991 × 171 × 49991
LCM(84973,84983) = 7221260459