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What is the Least Common Multiple of 80639 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 80639 and 80646 is 6503212794.

LCM(80639,80646) = 6503212794

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Least Common Multiple of 80639 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 80639 and 80646, than apply into the LCM equation.

GCF(80639,80646) = 1
LCM(80639,80646) = ( 80639 × 80646) / 1
LCM(80639,80646) = 6503212794 / 1
LCM(80639,80646) = 6503212794

Least Common Multiple (LCM) of 80639 and 80646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80639 and 80646. First we will calculate the prime factors of 80639 and 80646.

Prime Factorization of 80639

Prime factors of 80639 are 13, 6203. Prime factorization of 80639 in exponential form is:

80639 = 131 × 62031

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 80639 and 80646.

LCM(80639,80646) = 131 × 62031 × 21 × 31 × 134411
LCM(80639,80646) = 6503212794