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What is the Least Common Multiple of 80641 and 80650?

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 80641 and 80650 is 6503696650.

LCM(80641,80650) = 6503696650

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Least Common Multiple of 80641 and 80650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80641 and 80650, than apply into the LCM equation.

GCF(80641,80650) = 1
LCM(80641,80650) = ( 80641 × 80650) / 1
LCM(80641,80650) = 6503696650 / 1
LCM(80641,80650) = 6503696650

Least Common Multiple (LCM) of 80641 and 80650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80641 and 80650. First we will calculate the prime factors of 80641 and 80650.

Prime Factorization of 80641

Prime factors of 80641 are 11, 7331. Prime factorization of 80641 in exponential form is:

80641 = 111 × 73311

Prime Factorization of 80650

Prime factors of 80650 are 2, 5, 1613. Prime factorization of 80650 in exponential form is:

80650 = 21 × 52 × 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 80641 and 80650.

LCM(80641,80650) = 111 × 73311 × 21 × 52 × 16131
LCM(80641,80650) = 6503696650