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What is the Least Common Multiple of 80606 and 80615?

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 80606 and 80615 is 6498052690.

LCM(80606,80615) = 6498052690

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Least Common Multiple of 80606 and 80615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80606 and 80615, than apply into the LCM equation.

GCF(80606,80615) = 1
LCM(80606,80615) = ( 80606 × 80615) / 1
LCM(80606,80615) = 6498052690 / 1
LCM(80606,80615) = 6498052690

Least Common Multiple (LCM) of 80606 and 80615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80606 and 80615. First we will calculate the prime factors of 80606 and 80615.

Prime Factorization of 80606

Prime factors of 80606 are 2, 41, 983. Prime factorization of 80606 in exponential form is:

80606 = 21 × 411 × 9831

Prime Factorization of 80615

Prime factors of 80615 are 5, 23, 701. Prime factorization of 80615 in exponential form is:

80615 = 51 × 231 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 80606 and 80615.

LCM(80606,80615) = 21 × 411 × 9831 × 51 × 231 × 7011
LCM(80606,80615) = 6498052690