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What is the Least Common Multiple of 80237 and 80242?

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 80237 and 80242 is 6438377354.

LCM(80237,80242) = 6438377354

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Least Common Multiple of 80237 and 80242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80237 and 80242, than apply into the LCM equation.

GCF(80237,80242) = 1
LCM(80237,80242) = ( 80237 × 80242) / 1
LCM(80237,80242) = 6438377354 / 1
LCM(80237,80242) = 6438377354

Least Common Multiple (LCM) of 80237 and 80242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80237 and 80242. First we will calculate the prime factors of 80237 and 80242.

Prime Factorization of 80237

Prime factors of 80237 are 19, 41, 103. Prime factorization of 80237 in exponential form is:

80237 = 191 × 411 × 1031

Prime Factorization of 80242

Prime factors of 80242 are 2, 53, 757. Prime factorization of 80242 in exponential form is:

80242 = 21 × 531 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 80237 and 80242.

LCM(80237,80242) = 191 × 411 × 1031 × 21 × 531 × 7571
LCM(80237,80242) = 6438377354