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What is the Least Common Multiple of 84611 and 84615?

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 84611 and 84615 is 7159359765.

LCM(84611,84615) = 7159359765

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Least Common Multiple of 84611 and 84615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84611 and 84615, than apply into the LCM equation.

GCF(84611,84615) = 1
LCM(84611,84615) = ( 84611 × 84615) / 1
LCM(84611,84615) = 7159359765 / 1
LCM(84611,84615) = 7159359765

Least Common Multiple (LCM) of 84611 and 84615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84611 and 84615. First we will calculate the prime factors of 84611 and 84615.

Prime Factorization of 84611

Prime factors of 84611 are 211, 401. Prime factorization of 84611 in exponential form is:

84611 = 2111 × 4011

Prime Factorization of 84615

Prime factors of 84615 are 3, 5, 5641. Prime factorization of 84615 in exponential form is:

84615 = 31 × 51 × 56411

Now multiplying the highest exponent prime factors to calculate the LCM of 84611 and 84615.

LCM(84611,84615) = 2111 × 4011 × 31 × 51 × 56411
LCM(84611,84615) = 7159359765