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What is the Least Common Multiple of 80137 and 80145?

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 80137 and 80145 is 6422579865.

LCM(80137,80145) = 6422579865

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Least Common Multiple of 80137 and 80145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80137 and 80145, than apply into the LCM equation.

GCF(80137,80145) = 1
LCM(80137,80145) = ( 80137 × 80145) / 1
LCM(80137,80145) = 6422579865 / 1
LCM(80137,80145) = 6422579865

Least Common Multiple (LCM) of 80137 and 80145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80137 and 80145. First we will calculate the prime factors of 80137 and 80145.

Prime Factorization of 80137

Prime factors of 80137 are 127, 631. Prime factorization of 80137 in exponential form is:

80137 = 1271 × 6311

Prime Factorization of 80145

Prime factors of 80145 are 3, 5, 13, 137. Prime factorization of 80145 in exponential form is:

80145 = 32 × 51 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 80137 and 80145.

LCM(80137,80145) = 1271 × 6311 × 32 × 51 × 131 × 1371
LCM(80137,80145) = 6422579865