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What is the Least Common Multiple of 80626 and 80646?

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 80626 and 80646 is 3251082198.

LCM(80626,80646) = 3251082198

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Least Common Multiple of 80626 and 80646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80626 and 80646, than apply into the LCM equation.

GCF(80626,80646) = 2
LCM(80626,80646) = ( 80626 × 80646) / 2
LCM(80626,80646) = 6502164396 / 2
LCM(80626,80646) = 3251082198

Least Common Multiple (LCM) of 80626 and 80646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80626 and 80646. First we will calculate the prime factors of 80626 and 80646.

Prime Factorization of 80626

Prime factors of 80626 are 2, 7, 13, 443. Prime factorization of 80626 in exponential form is:

80626 = 21 × 71 × 131 × 4431

Prime Factorization of 80646

Prime factors of 80646 are 2, 3, 13441. Prime factorization of 80646 in exponential form is:

80646 = 21 × 31 × 134411

Now multiplying the highest exponent prime factors to calculate the LCM of 80626 and 80646.

LCM(80626,80646) = 21 × 71 × 131 × 4431 × 31 × 134411
LCM(80626,80646) = 3251082198