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What is the Least Common Multiple of 80690 and 80694?

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 80690 and 80694 is 3255599430.

LCM(80690,80694) = 3255599430

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Least Common Multiple of 80690 and 80694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80690 and 80694, than apply into the LCM equation.

GCF(80690,80694) = 2
LCM(80690,80694) = ( 80690 × 80694) / 2
LCM(80690,80694) = 6511198860 / 2
LCM(80690,80694) = 3255599430

Least Common Multiple (LCM) of 80690 and 80694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80690 and 80694. First we will calculate the prime factors of 80690 and 80694.

Prime Factorization of 80690

Prime factors of 80690 are 2, 5, 8069. Prime factorization of 80690 in exponential form is:

80690 = 21 × 51 × 80691

Prime Factorization of 80694

Prime factors of 80694 are 2, 3, 4483. Prime factorization of 80694 in exponential form is:

80694 = 21 × 32 × 44831

Now multiplying the highest exponent prime factors to calculate the LCM of 80690 and 80694.

LCM(80690,80694) = 21 × 51 × 80691 × 32 × 44831
LCM(80690,80694) = 3255599430