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What is the Least Common Multiple of 80137 and 80157?

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 80157 is 6423541509.

LCM(80137,80157) = 6423541509

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Least Common Multiple of 80137 and 80157 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 80157, than apply into the LCM equation.

GCF(80137,80157) = 1
LCM(80137,80157) = ( 80137 × 80157) / 1
LCM(80137,80157) = 6423541509 / 1
LCM(80137,80157) = 6423541509

Least Common Multiple (LCM) of 80137 and 80157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80137 and 80157. First we will calculate the prime factors of 80137 and 80157.

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 80157

Prime factors of 80157 are 3, 7, 11, 347. Prime factorization of 80157 in exponential form is:

80157 = 31 × 71 × 111 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 80137 and 80157.

LCM(80137,80157) = 1271 × 6311 × 31 × 71 × 111 × 3471
LCM(80137,80157) = 6423541509