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What is the Least Common Multiple of 80722 and 80733?

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 80722 and 80733 is 6516929226.

LCM(80722,80733) = 6516929226

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Least Common Multiple of 80722 and 80733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80722 and 80733, than apply into the LCM equation.

GCF(80722,80733) = 1
LCM(80722,80733) = ( 80722 × 80733) / 1
LCM(80722,80733) = 6516929226 / 1
LCM(80722,80733) = 6516929226

Least Common Multiple (LCM) of 80722 and 80733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80722 and 80733. First we will calculate the prime factors of 80722 and 80733.

Prime Factorization of 80722

Prime factors of 80722 are 2, 40361. Prime factorization of 80722 in exponential form is:

80722 = 21 × 403611

Prime Factorization of 80733

Prime factors of 80733 are 3, 17, 1583. Prime factorization of 80733 in exponential form is:

80733 = 31 × 171 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 80722 and 80733.

LCM(80722,80733) = 21 × 403611 × 31 × 171 × 15831
LCM(80722,80733) = 6516929226