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What is the Least Common Multiple of 80039 and 80058?

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 80039 and 80058 is 6407762262.

LCM(80039,80058) = 6407762262

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Least Common Multiple of 80039 and 80058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80039 and 80058, than apply into the LCM equation.

GCF(80039,80058) = 1
LCM(80039,80058) = ( 80039 × 80058) / 1
LCM(80039,80058) = 6407762262 / 1
LCM(80039,80058) = 6407762262

Least Common Multiple (LCM) of 80039 and 80058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80039 and 80058. First we will calculate the prime factors of 80039 and 80058.

Prime Factorization of 80039

Prime factors of 80039 are 80039. Prime factorization of 80039 in exponential form is:

80039 = 800391

Prime Factorization of 80058

Prime factors of 80058 are 2, 3, 11, 1213. Prime factorization of 80058 in exponential form is:

80058 = 21 × 31 × 111 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 80039 and 80058.

LCM(80039,80058) = 800391 × 21 × 31 × 111 × 12131
LCM(80039,80058) = 6407762262